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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 10.6, Problem 8ES

Textbook Problem

Write the exponential equation in logarithmic form.

Expert Solution

To determine

To write the given exponential equation in logarithmic form.

**Given information:**

Given, exponential equation is

**Calculation:**

By the definition of logarithm, an exponential equation of the form

Here

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Ch. 10.1 - Draw a line through all points with a y-coordinate...Ch. 10.1 - Graph the ordered-pair solutions of y=x2 when...Ch. 10.1 - Graph the ordered-pair solutions of y=x2+1 when...Ch. 10.1 - Graph the ordered-pair solutions of y=| x+1 | when...Ch. 10.1 - Graph the ordered-pair solutions of y=2| x | when...Ch. 10.1 - Graph the ordered-pair solutions of y=x32 when...Ch. 10.1 - Graph the ordered-pair solutions of y=x3+1 when...Ch. 10.1 - In Exercises 13 to 20, graph each equation. y=2x1Ch. 10.1 - In Exercises 13 to 20, graph each equation. y=3x+2Ch. 10.1 - In Exercises 13 to 20, graph each equation....Ch. 10.1 - In Exercises 13 to 20, graph each equation. y=x23Ch. 10.1 - In Exercises 13 to 20, graph each equation. y=2x21Ch. 10.1 - In Exercises 13 to 20, graph each equation....Ch. 10.1 - In Exercises 13 to 20, graph each equation. y=| x1...Ch. 10.1 - In Exercises 13 to 20, graph each equation. y=| x3...Ch. 10.1 - Evaluate the function for the given value....Ch. 10.1 - Evaluate the function for the given value....Ch. 10.1 - Evaluate the function for the given value....Ch. 10.1 - Evaluate the function for the given value....Ch. 10.1 - Evaluate the function for the given value....Ch. 10.1 - Evaluate the function for the given value....Ch. 10.1 -
Ch. 10.1 - Geometry The area of a circle is a function of its...Ch. 10.1 - Sports The height h, in feet, of a ball that is...Ch. 10.1 - Forestry The distance d, in miles, a forest fire...Ch. 10.1 - Sound The speed s, in feet per second, of sound in...Ch. 10.1 - Mixtures The percent concentration P of salt in a...Ch. 10.1 - Pendulums The time T in seconds, it takes a...Ch. 10.1 - Botany Botanists have determined that some species...Ch. 10.1 - Graph the function. f(x)=2x5Ch. 10.1 - Graph the function. f(x)=2x+4Ch. 10.1 - Graph the function. f(x)=x+4Ch. 10.1 - Graph the function. f(x)=3x1Ch. 10.1 - Graph the function. g(x)=23x+2Ch. 10.1 - Graph the function. h(x)=52x1Ch. 10.1 - Graph the function. F(x)=12x+3Ch. 10.1 - Graph the function. 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. Let g(a,b)= the...Ch. 10.1 - Consider the function given by M(x,y)=x+y2+| xy...Ch. 10.2 - The graph at the left represents a car traveling...Ch. 10.2 - The graph at the left represents a car traveling...Ch. 10.2 - The graph at the left represents a car traveling...Ch. 10.2 - The graph at the left represents a car traveling...Ch. 10.2 - The graph at the left represents a car traveling...Ch. 10.2 - The graph at the left represents a car traveling...Ch. 10.2 - The graph at the left represents a car traveling...Ch. 10.2 - The graph at the left represents a car traveling...Ch. 10.2 - The graph below represents another car traveling...Ch. 10.2 - The graph below represents another car traveling...Ch. 10.2 - The graph below represents another car traveling...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 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 - Panama Canal Ships in the Panama Canal are lowered...Ch. 10.2 - Graph the line that passes through the point (1,3)...Ch. 10.2 - Graph the line that passes through the point (2,3)...Ch. 10.2 - Graph the tine that passes through the point (3,0)...Ch. 10.2 - Graph the line that passes through the point (2,...Ch. 10.2 - Graph using the slope and y-intercept. f(x)=12x+2Ch. 10.2 - Graph using the slope and y-intercept. f(x)=23x3Ch. 10.2 - Graph using the slope and y-intercept. f(x)=32xCh. 10.2 - Graph using the slope and y-intercept. f(x)=34xCh. 10.2 - Graph using the slope and y-intercept. f(x)=13x1Ch. 10.2 - Graph using the slope and y-intercept. f(x)=32x+6Ch. 10.2 - Jogging Lois and Tanya start from the same place...Ch. 10.2 - Chemistry A chemist is filling two cans from a...Ch. 10.2 - If (2,3) are the coordinates of a point on a line...Ch. 10.2 - If (1,2) are the coordinates of a point on a line...Ch. 10.2 - What effect does increasing the coefficient of x...Ch. 10.2 - What effect does decreasing the coefficient of x...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. 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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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