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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 10, Problem 68RE

Textbook Problem

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Solve for *x*. Round to the nearestten-thousandth.

To determine

To solve the equation for x (Rounded to the nearest ten-thousandth).

**Given information:**

Given, equation is

**Calculation:**

By the definition of logarithm, a logarithmic equation of the form

Here

Mathematical Excursions (MindTap Course List)

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F(x)=34x1Ch. 10.1 - Graph the function. f(x)=x21Ch. 10.1 - Graph the function. f(x)=x2+2Ch. 10.1 - Graph the function. f(x)=x2+4Ch. 10.1 - Graph the function. f(x)=2x2+5Ch. 10.1 - Graph the function. g(x)=x24xCh. 10.1 - Graph the function. h(x)=x2+4xCh. 10.1 - Graph the function. P(x)=x2x6Ch. 10.1 - Graph the function. P(x)=x22x3Ch. 10.1 - Supposef is a function. Is it possible to have...Ch. 10.1 - Supposef is a function and f(a)=4 and f(b)=4. Does...Ch. 10.1 - If f(x)=2x+5 and f(a)=9, find a.Ch. 10.1 - If f(x)=x2 and f(a)=9, find a.Ch. 10.1 - Let f(a,b)= the sum of a and b. 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Find the x- and y-intercepts of thegraph of the...Ch. 10.2 - Find the x- and y-intercepts of thegraph of the...Ch. 10.2 - Find the x- and y-intercepts of thegraph of the...Ch. 10.2 - Find the x- and y-intercepts of thegraph of the...Ch. 10.2 - Find the x- and y-intercepts of thegraph of the...Ch. 10.2 - Find the x- and y-intercepts of thegraph of the...Ch. 10.2 - Find the x- and y-intercepts of the graph of the...Ch. 10.2 - Find the x- and y-intercepts of thegraph of the...Ch. 10.2 - Find the x- and y-intercepts of thegraph of the...Ch. 10.2 - Find the x- and y-intercepts of thegraph of the...Ch. 10.2 - Crickets There is a relationship between the...Ch. 10.2 - Travel An approximate linear model that gives the...Ch. 10.2 - Refrigeration The temperature of an object taken...Ch. 10.2 - Retirement Account A retired biologist begins...Ch. 10.2 - Find the slope of the line containing the two...Ch. 10.2 - Find the slope of the line containing the two...Ch. 10.2 - Find the slope of the line containing the two...Ch. 10.2 - Find the slope of the line containing the two...Ch. 10.2 - Find the slope of the line containing the two...Ch. 10.2 - Find the slope of the line containing the two...Ch. 10.2 - Find the slope of the line containing the two...Ch. 10.2 - Find the slope of the line containing the two...Ch. 10.2 - Find the slope of the line containing the two...Ch. 10.2 - Find the slope of the line containing the two...Ch. 10.2 - Find the slope of the line containing the two...Ch. 10.2 - Find the slope of the line containing the two...Ch. 10.2 - Find the slope of the line containing the two...Ch. 10.2 - Find the slope of the line containing the two...Ch. 10.2 - Find the slope of the line containing the two...Ch. 10.2 - Find the slope of the line containing the two...Ch. 10.2 - Travel The graph below shows the relationship...Ch. 10.2 - Depreciation The graph below shows the...Ch. 10.2 - Aviation The graph below shows the height of a...Ch. 10.2 - Mortgages The graph below shows the relationship...Ch. 10.2 - 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Find the equation of the line that passes through...Ch. 10.3 - Find the equation of the line that passes through...Ch. 10.3 - Find the equation of the line that passes through...Ch. 10.3 - Find the equation of the line that passes through...Ch. 10.3 - Find the equation of the line that passes through...Ch. 10.3 - Find the equation of the line that passes through...Ch. 10.3 - Find the equation of the line that passes through...Ch. 10.3 - Find the equation of the line that passes through...Ch. 10.3 - Find the equation of the line that passes through...Ch. 10.3 - Find the equation of the line that passes through...Ch. 10.3 -
Ch. 10.3 - Hotel Industry The operator of a hotel estimates...Ch. 10.3 - Construction A general building contractor...Ch. 10.3 - Compensation An account executive receives a base...Ch. 10.3 - Car Sales A manufacturer of economy cars has...Ch. 10.3 - Calculator Sales A manufacturer of graphing...Ch. 10.3 - Test Scores The data in the table below show five...Ch. 10.3 - Stress A research hospital did a study on the...Ch. 10.3 - Sports The data in the (able below show the amount...Ch. 10.3 - Fuel Efficiency An automotive engineer studied the...Ch. 10.3 - Meteorology A meteorologist studied the maximum...Ch. 10.3 - Zoology A zoologist studied the running speeds of...Ch. 10.3 - A line contains the points (4,1) and (2,1). Find...Ch. 10.3 - Iff is a linear function for which f(1)=3 and...Ch. 10.3 - The ordered pairs (0, 1), (4, 9), and (3, n) are...Ch. 10.3 - The ordered pairs (2,2), (1,5), and (3,n) are...Ch. 10.3 - Is there a linear function that contains the...Ch. 10.3 - Is there a linear function that contains the...Ch. 10.3 - Travel Assume that the maximum speed your car will...Ch. 10.4 - Find the coordinates of the focus for the parabola...Ch. 10.4 - Optical telescopes work on the same principle as...Ch. 10.4 - Find a flashlight and measure the diameter of its...Ch. 10.4 - Find the vertex of the graph of the equation....Ch. 10.4 - Find the vertex of the graph of the equation....Ch. 10.4 - Find the vertex of the graph of the equation....Ch. 10.4 - Find the vertex of the graph of the equation....Ch. 10.4 - Find the vertex of the graph of the equation....Ch. 10.4 - Find the vertex of the graph of the equation....Ch. 10.4 - Find the vertex of the graph of the equation....Ch. 10.4 - Find the vertex of the graph of the equation....Ch. 10.4 - Find the vertex of the graph of the equation....Ch. 10.4 - Find the vertex of the graph of the equation....Ch. 10.4 - Find the vertex of the graph of the equation....Ch. 10.4 - Find the vertex of the graph of the equation....Ch. 10.4 - Find the x-intercepts of the parabola given by the...Ch. 10.4 - Find the x-intercepts of the parabola given by the...Ch. 10.4 - Find the x-intercepts of the parabola given by the...Ch. 10.4 - Find the x-intercepts of the parabola given by the...Ch. 10.4 - Find the x-intercepts of the parabola given by the...Ch. 10.4 - Find the x-intercepts of the parabola given by the...Ch. 10.4 - Find the x-intercepts of the parabola given by the...Ch. 10.4 - Find the x-intercepts of the parabola given by the...Ch. 10.4 - Find the x-intercepts of the parabola given by the...Ch. 10.4 - Find the x-intercepts of the parabola given by the...Ch. 10.4 - Find the x-intercepts of the parabola given by the...Ch. 10.4 - Find the x-intercepts of the parabola given by the...Ch. 10.4 - Find the minimum or maximum value of the quadratic...Ch. 10.4 - Find the minimum or maximum value of the quadratic...Ch. 10.4 - Find the minimum or maximum value of the quadratic...Ch. 10.4 - Find the minimum or maximum value of the quadratic...Ch. 10.4 - Find the minimum or maximum value of the quadratic...Ch. 10.4 - Find the minimum or maximum value of the quadratic...Ch. 10.4 - Find the minimum or maximum value of the quadratic...Ch. 10.4 - Find the minimum or maximum value of the quadratic...Ch. 10.4 - The graph of which of the following equations is a...Ch. 10.4 - Sports The height s, in feet, of a ball thrown...Ch. 10.4 - Sports The height s, in feet, of a ball thrown...Ch. 10.4 - Business A tour operator believes that the profit...Ch. 10.4 - Manufacturing A manufacturer of camera lenses...Ch. 10.4 - Water Treatment A pool is treated with a chemical...Ch. 10.4 - Civil Engineering The suspension cable that...Ch. 10.4 - Annual Income The net annual income I, in dollars,...Ch. 10.4 - Pitching Karen is throwing an orange to her...Ch. 10.4 - Football Some football fields are built in a...Ch. 10.4 - Bellagio Water Feature A water feature at the...Ch. 10.4 - Stopping Distance On wet concrete, the stopping...Ch. 10.4 - Fuel Efficiency The fuel efficiency of an average...Ch. 10.4 - Ranching A rancher has 200 ft of fencing with...Ch. 10.4 - To prepare astronauts for the experience of zero...Ch. 10.5 - This portion of this Excursion will enable you to...Ch. 10.5 - Use inductive reasoning to find a function that...Ch. 10.5 - If all 64 squares of the chessboard are piled with...Ch. 10.5 - A grain of wheat weighs approximately 0.000008 kg....Ch. 10.5 - In a recent year, a total of 6.5108 metric tons of...Ch. 10.5 - Given f(x)=3x, evaluate: f(2) b. f(0) c. f(2)Ch. 10.5 - Given H(x)=2x, evaluate: a. H(3) b. H(0) c. H(2)Ch. 10.5 - Given g(x)=2x+1, evaluate: a. g(3) b. g(1) c. g(3)Ch. 10.5 - Given F(x)=3x2, evaluate: a. F(4) b. F(1) c. F(0)Ch. 10.5 - Given G(r)=(12)2r, evaluate: a. G(0) b. G(32) c....Ch. 10.5 - Given R(t)=(13)3t evaluate: a. R(13) b. R(1) c....Ch. 10.5 - Given h(x)=ex/2, evaluate the following. Roundto...Ch. 10.5 - Given f(x)=e2x, evaluate the following. Roundto...Ch. 10.5 - Given H(x)=ex+3, evaluate the following. Round to...Ch. 10.5 - Given g(x)=ex/2, evaluate the following. Roundto...Ch. 10.5 - Given F(x)=2x2, evaluate the following. Roundto...Ch. 10.5 - Given Q(x)=2x2, evaluate: a. Q(3) b. Q(1) c. Q(2)Ch. 10.5 - Given f(x)=ex22, evaluate the following. Roundto...Ch. 10.5 - Given h(x)=e2x+1, evaluate the following.Round to...Ch. 10.5 - Graph the function. f(x)=2x+1Ch. 10.5 - Graph the function. f(x)=3x2Ch. 10.5 - Graph the function. g(x)=3x/2Ch. 10.5 - Graph the function. h(x)=2x/2Ch. 10.5 - Graph the function. f(x)=2x+3Ch. 10.5 - Graph the function. g(x)=4x+1Ch. 10.5 - Graph the function. H(x)=22xCh. 10.5 - Graph the function. F(x)=2xCh. 10.5 - Graph the function. f(x)=exCh. 10.5 - Graph the function. y(x)=e2xCh. 10.5 - Investments Use the compound interest formula...Ch. 10.5 - Investments Use the compound interest formula...Ch. 10.5 - Investments Some banks use continuous compounding...Ch. 10.5 - Isotopes An isotope of technetium is used to...Ch. 10.5 - Isotopes lodine- 131 is an isotope that is used...Ch. 10.5 - Welding The percent of correct welds that a...Ch. 10.5 - Music The concert A note on a piano is the firstA...Ch. 10.5 - Atmospheric Pressure Atmospheric pressurechanges...Ch. 10.5 - Car Payments The formula used to calculate a...Ch. 10.6 - Use Benfords law to complete the table and bar...Ch. 10.6 - Use Benfords law to find the probability that in a...Ch. 10.6 - Use Benfords law to find how many times as many...Ch. 10.6 - Explain why Benfords law would not apply to the...Ch. 10.6 - Explain why Benfords law would not apply to the...Ch. 10.6 - Write the exponential equation in logarithmic...Ch. 10.6 - Write the exponential equation in logarithmic...Ch. 10.6 - Write the exponential equation in logarithmic...Ch. 10.6 - Write the exponential equation in logarithmic...Ch. 10.6 - Write the exponential equation in logarithmic...Ch. 10.6 - Write the exponential equation in logarithmic...Ch. 10.6 - Write the exponential equation in logarithmic...Ch. 10.6 - Write the exponential equation in logarithmic...Ch. 10.6 - Write the logarithmic equation in exponential...Ch. 10.6 - Write the logarithmic equation in exponential...Ch. 10.6 - Write the logarithmic equation in exponential...Ch. 10.6 - Write the logarithmic equation in exponential...Ch. 10.6 - Write the logarithmic equation in exponential...Ch. 10.6 - Write the logarithmic equation in exponential...Ch. 10.6 - Write the logarithmic equation in exponential...Ch. 10.6 - Write the logarithmic equation in exponential...Ch. 10.6 - Evaluate the logarithm. log381Ch. 10.6 - Evaluate the logarithm. log749Ch. 10.6 - Evaluate the logarithm. log100Ch. 10.6 - Evaluate the logarithm. log0.001Ch. 10.6 - Evaluate the logarithm. log319Ch. 10.6 - Evaluate the logarithm. log717Ch. 10.6 - Evaluate the logarithm. log264Ch. 10.6 - Evaluate the logarithm. log0.01Ch. 10.6 - Solve the equation for x. log3x=2Ch. 10.6 - Solve the equation for x. log5x=1Ch. 10.6 - Solve the equation for x. log7x=1Ch. 10.6 - Solve the equation for x. log8x=2Ch. 10.6 - Solve the equation for x. log3x=2Ch. 10.6 - Solve the equation for x. log5x=3Ch. 10.6 - Solve the equation for x. log4x=0Ch. 10.6 - Solve the equation for x. log4x=1Ch. 10.6 - Use a calculator to solve for x. Round to the...Ch. 10.6 - Use a calculator to solve for x. Round to the...Ch. 10.6 - Use a calculator to solve for x. Round to the...Ch. 10.6 - Use a calculator to solve for x. Round to the...Ch. 10.6 - Use a calculator to solve for x. Round to the...Ch. 10.6 - Use a calculator to solve for x. Round to the...Ch. 10.6 - Use a calculator to solve for x. Round to the...Ch. 10.6 - Use a calculator to solve for x. Round to the...Ch. 10.6 - Graph the function. g(x)=log2xCh. 10.6 - Graph the function. g(x)=log4xCh. 10.6 - Graph the function. f(x)=log3(2x1)Ch. 10.6 - Graph the function. f(x)=log2xCh. 10.6 - Graph the function. f(x)=log2(x1)Ch. 10.6 - Graph the function. f(x)=log3(x2)Ch. 10.6 - Light The percent of light that will pass through...Ch. 10.6 - Light The percent of light that will pass through...Ch. 10.6 - Sound The number of decibels, D, of a sound can be...Ch. 10.6 - Sound The number of decibels, D, of a sound can be...Ch. 10.6 - pH of a Solution, use the equation pH=log(H+)...Ch. 10.6 - pH of a Solution, use the equation pH=log(H+)...Ch. 10.6 - Earthquakes .Use the Richterscale equation...Ch. 10.6 - Earthquakes. Use the Richter scale equation...Ch. 10.6 - Earthquakes. Use the Richter scale equation...Ch. 10.6 - Earthquakes. Use the Richter scale equation...Ch. 10.6 - Earthquakes. 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Round to the nearestten-thousandth....Ch. 10 - Solve for x. Round to the nearestten-thousandth....Ch. 10 - Solve for x. Round to the nearestten-thousandth....Ch. 10 - Solve for x. Round to the nearestten-thousandth....Ch. 10 - Astronomy Use the distance modulus function...Ch. 10 - Sound The number of decibels, D, of a sound can be...Ch. 10 - Evaluate the function for the given value of the...Ch. 10 - Evaluate the function for the given value of the...Ch. 10 - Evaluate: log5125Ch. 10 - Solve for x:log6x=2Ch. 10 - Graph the function. f(x)=2x3Ch. 10 - Graph the function. f(x)=x2+2x3Ch. 10 - Graph the function. f(x)=2x5Ch. 10 - Graph the function. f(x)=log3(x1)Ch. 10 - Find the slope of the line that passes through (3,...Ch. 10 - Find the equation of the line that passes through...Ch. 10 - Find the vertex of the graph of f(x)=x2+6x1.Ch. 10 - Find the x-intercepts of the parabola given by the...Ch. 10 - Find the minimum or maximum value of the quadratic...Ch. 10 - Travel The distanced, in miles, of a small plane...Ch. 10 - Sports The height h. in feet, of a ball that is...Ch. 10 - Isotopes A radioactive isotope has a half-life of...Ch. 10 - Earthquakes Two earthquakes struck Papua....Ch. 10 - Farming The manager of an orange grove has...Ch. 10 - A traffic engineer gathered data on the number of...Ch. 10 - Light The equation log P=kd gives the relationship...

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For a population with =40and =11 , find the a-score for each of the following X values. (Note: You probably wil...

Statistics for The Behavioral Sciences (MindTap Course List)

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or gi...

Multivariable Calculus

Calculate each expression in Exercises 124, giving the answer as a whole number or a fraction in lowest terms. ...

Finite Mathematics and Applied Calculus (MindTap Course List)

Real Zeros of a Polynomial A polynomial P is given. (a) Find all the real zeros of P. (b) Sketch a graph of P. ...

Precalculus: Mathematics for Calculus (Standalone Book)

For week 1 of a week-loss competition, Team A had three members lose 8 pounds each, two members lose 5 pounds e...

Intermediate Algebra

Use the scale drawing of a metal plate cover in Illustration 2 in Exercises 1726: ILLUSTRATION 2 What is the di...

Elementary Technical Mathematics

Angle Between Cities Los Angeles and San Francisco are approximately 450 miles apart on the surface of the eart...

Trigonometry (MindTap Course List)

For Review Exercises 13 to 18, name the type of reasoning intuition, induction, deduction used. Laura is at cam...

Elementary Geometry For College Students, 7e

Determine whether the series converges or diverges. 12. k=1(2k1)(k21)(k+1)(k2+4)2

Single Variable Calculus: Early Transcendentals

Find the least common denominator for the following groups of fractions. For problems 1-3, try finding the LCD ...

Contemporary Mathematics for Business & Consumers

25. (See Exercise 8.) Describe the units of .
8. For the given value of , find all the units in .
a. ...

Elements Of Modern Algebra

In Exercises 1724, a write a matrix equation that is equivalent to the system of linear equations, and b solve ...

Finite Mathematics for the Managerial, Life, and Social Sciences

Review In Exercises 53-70, determine the convergence or divergence of the series using any appropriate test fro...

Calculus of a Single Variable

Finding an Equation of a Tangent Plane and a Normal Line In Exercises 17-26,(a) find an equation of the tangent...

Calculus: Early Transcendental Functions (MindTap Course List)

The length of the radius of a circle inscribed in an equilateral triangle is 7 in. Find the length of the radiu...

Elementary Geometry for College Students

The feed on a lathe is set for 132inch. How many revolutions does the work make when the tool advances 738inche...

Mathematics For Machine Technology

Rationalize each denominator. 3x7+2

College Algebra (MindTap Course List)

In exercise 12, the following data on x = average daily hotel room rate and y = amount spent on entertainment (...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

The following data on sale price, size, and land-to-building ratio for 10 large industrial properties appeared ...

Introduction To Statistics And Data Analysis

Define fraud and explain the safeguards that exist to prevent it.

Research Methods for the Behavioral Sciences (MindTap Course List)

How many permutations of three items can be selected from a group of six? Use the letters A, b, C, D, E, and F ...

Statistics for Business & Economics, Revised (MindTap Course List)

For y = 3x, y = a) 3x log3 e b) 3x ln 3 c) 3xlog3e d) 3xln3

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Finding a Limit In Exercises 25-36, find the limit (if it exists). If the limit does not exist, explain why. li...

Multivariable Calculus

You have discovered that when you are in a hurry, you can save time by rolling through stop signs instead of co...

Research Methods for the Behavioral Sciences (MindTap Course List)

Analyzing the Graph of a Function In Exercises 9-36, analyze and sketch a graph of the function. Label any inte...

Calculus (MindTap Course List)