D. Evaluating Functions and Solving Equations (4 pts) Let G(x) = log,(2x+1)-2 and H(x) =-2+2 log, x. Find all real numbers x for which H(x) = G(x) 1. 2. Aarnie tried to solve the equation e** +e** =12 but got the wrong answer. Here is his first step: %3D In(e**)+ In(e²") = In(12) a. (3 pts) Explain why his first step was wrong. b. (4 pts) Help Aarnie get a correct solution. Show all steps and write the solution in the box provided using exact

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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D. Evaluating Functions and Solving Equations
1. (4 pts) Let G(x)= log,(2x+1)-2 and H(x)=-2+2 log, x. Find all real numbers x for which H(x) =G(x)
1.
2. Aarnie tried to solve the equation e** +e²* = 12 but got the wrong answer. Here is his first step:
In(e*)+In(e²") = In(12)
a. (3 pts) Explain why his first step was wrong.
b. (4 pts) Help Aarnie get a correct solution. Show all steps and write the solution in the box provided using exact
form. ('Exact' means do NOT approximate logarithms, square roots or fractions with a calculator. For example V2
is exact. 1.14 is a calculator approximation.)
Transcribed Image Text:D. Evaluating Functions and Solving Equations 1. (4 pts) Let G(x)= log,(2x+1)-2 and H(x)=-2+2 log, x. Find all real numbers x for which H(x) =G(x) 1. 2. Aarnie tried to solve the equation e** +e²* = 12 but got the wrong answer. Here is his first step: In(e*)+In(e²") = In(12) a. (3 pts) Explain why his first step was wrong. b. (4 pts) Help Aarnie get a correct solution. Show all steps and write the solution in the box provided using exact form. ('Exact' means do NOT approximate logarithms, square roots or fractions with a calculator. For example V2 is exact. 1.14 is a calculator approximation.)
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