Use a graphing utility to graph f and g in the same viewing window. Approximate the point of intersection of the graphs of f and g. Then solve the equation of f(x) = g(x) algebraically. (Round your answer to three decimal places.) f(x) = 6 log5(x) g(x) = 4 Approximate point of intersection Solution to f(x) = g(x) X =

Q: The Richter scale is one way of converting seismographic readings into numbers that provide an easy…

A: Given: seismographic reading measures 0.001 millimeter at a distance of 100 kilometers from the…

Q: Find the value of x satisfying log,, (2×+x– 41)=x (1 – log1,5).

A: It is given that, log10(2x+x-41)=x(1-log105)   Here logarithmic properties are going to be useful to…

Q: Solve for x the equation log [ log (2 + log2(x + 1)) ] = 0

A: Given,

Q: Disprove the statement:a. letting y equal a positive constant of your choice, and b. using a…

A: Let us assume  y=3  Then the right side= log x + log 3= log(3x)  This not equal to the left side…

Q: Solve the logarithmic equation for x. (Enter your answers as comma-separated lists.) (a) log(2x) = 4…

A: Solve as per below in step 2

Q: Solve the logarithmic equation log(x + 3) + log(x - 2) = log 14. Be sure to reject any value of x…

A:

Q: Use a graphing utility to solve the equation. log 5(x + 2) – log 3(x- 1) =2 The solution set is

A:

Q: Solve the logarithmic equation for x, as in Example 7. (Enter your answers as a comma-separated…

A:

Q: Solve the following equation:   log 7  ( x   +  1 ) +   log 7 ( x - 5 ) =  1

A: (1)  According to the question, we have to solve the expression log7x+1+log7x-5=1. As the given…

Q: Solve the equation log(x+2)+log(x-1)=1

A: The given equation is  log(x+2)+log(x-1)=1

Q: The number line below shows a value on a log scale. log(x) -5 4 3 -2 -1 0i2 3 4 What is the value of…

A:

Q: 7) Solve the logarithmic equation log,(x- 5) + log4(x + 7) = 3

A:

Q: 111. Graph Y, = log(x²) and Y, = 2 log(x) using a graphing utility. Are they equivalent? What might…

A: Explanation: Given that,  Y1=logx2Y2=2logx

Q: Solve the logarithmic equation for x (Enter your answers as a comma-separated list.) 2 log(x) =…

A:

Q: Solve log10(2x +1) = 1+ log10(x – 2). Get a decimal approximation which is within 0.0001 of being…

A: The given equation is log10(2x+1)=1+log10(x-2)

Q: Solve (a) x = log3 1/81 (b) log x 1/16= -2

A:

Q: Solve the logarithmic equation log(x + 7) - log 3 = log(7x + 1). Be sure toreject any value of x…

A: we have to solve the logarithmic equation log(x + 7) - log 3 = log(7x + 1)

Q: Solve the equation for x, give EXACT answers, show all work! log2 I + log,(x – 3) = 2

A: According to the definition of the logarithm, if logax=y, then y=ax. the number a is called the base…

Q: Enter your answers as a comma-separated list.) log(x) + log(x − 3) = 1

A: we have to solve the given logarithmic equation for x. log(x) + log(x − 3) = 1

Q: 2 Solve the equation: A.)log 3(7x + 3) = log3 (5x + 9). B.)log 7(x - 2) + log7 (x + 3) = log7 14.…

A: To solve the given equation. A). log37x+3=log35x+9 We know that if logam=logan then m=n. Using the…

Q: Solve the logarithmic equation log(2x - 1) = log(x + 3) + log 3. Be sure to reject any value of x…

A: Given: log2x-1=logx+3+log3 for solving this, we first find domain of it so, in logx, x>0…

Q: Some biologists model the number of species S in a fixed area A (such as an island) by the…

A: a] Given that log S = log c + k log A logarithm property a(log(b)) = logba applying log property we…

Q: 7. Solve for x: 48 = 6e4x b. log (x?) + 3log (x) log (32) а.

A: Given : a) 48=6e4x   b) log(x2) +3logx=log32

Q: (e) log3 9x* – log3(3x)?

A:

Q: Do not use calculators. Approximated decimals are not accepted. Let j=8 k= 3 Solve the equation:…

A: To solve: The equation log3x-9+k=2-log3x-1+k. Given: The value of k=3 Concept used;…

Q: 2 log x + log2=log32 Solve for x

A: Given:   2 logx+log2=log32Log of a product:loga x+loga y=loga x.yLog of a power:loga xn=n logax

Q: slove the equation given an exact solution log9(x-5)+log9(x-5)=1

A: Given:

Q: Find the exact solution to the equation below. (Do not give a decimal approximation.) log(2 – x) –…

A: The solution is:

Q: = x log; a + log3 (x + 3) = 2

A:

Q: Solve for all possible values of x. Use exact values. a) log x – log 3 = log 13 + log 2 b) log.(x +…

A: Solving the problem by obtaining the values of x and n.

Q: Q2: Solve the Logarithms Equation. sin log2(3 - X) - log2 1 + log2(x + 7) 5-x

A: To solve the logarithm equation: log23-x-log2sin3π45-x=12+log2x+7 Solution:   Property of logarithm…

Q: Find x,where l

A:

Q: The Richter scale is one way of converting seismographic readings into numbers that provide an easy…

A: Mx=logxx0

Q: Solve the logarithmic equation for x. (a) log(2x) = 3 (b) log(x + 1) + log 2 = log(5x) %3! (c) 5…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: solve for x log(x+6)=2

A:

Q: Solve the logarithmic equation for x. log4(x + 2) + log4 3 = log4 5 + log4(2x - 3)

A: Given  log4x+2+log43=log45+log42x-3 The logarithmic rule used here is  logtab=logta+logtb So the…

Q: (a) The projected population P of a fish in a lake after t years is given by 160000 P = 1+3e-2 Find…

A: Part a: Find initial population.

Q: 8. Solve log(x + 2) + log(x- 1) 1. Trial and error will not be accepted. Show all work.

A:

Q: Find the value(s) of x for which the equation is true. log(x + 2) = log(x) + log(2) X =

A:

Q: Solve for x. (not all possible solutions are actual solutions) log,(x + 5) = 2 – log, x -

A: We have to solve

Q: log, 5 z 0.699 and log, 2x 0.301. Use one or both of these values to evaluate loga 125.

A:

Q: 3. Solve the logarithmic equation log,x + log2(x-6) = 4

A: Given:   The logarithm equation is       log2(x) + log2(x-6) = 4 The product rule states that sum of…

Q: Solve the equation for x. log4(x + 2) − log4(x) = log4(50)

A: Given:

Q: What are the steps involved in this problem? log (x-10) - log (x-6) = log 2

A: Given as