## Intermediate Algebra (12th Edition)

Published by Pearson

# Chapter 9 - Section 9.3 - Logarithmic Functions - 9.3 Exercises: 62

{37}

#### Work Step by Step

For all positive numbers $a$, where $a\ne1$, and all positive numbers $x$, we know that $y=log_{a}x$ means the same as $x=a^{y}$. Therefore, $log_{3}(2x+7)=4$ means the same as $3^{4}=2x+7$. We know that $3^{4}=81$, so we can set $81=2x+7$. Subtract 7 from both sides. $2x=74$ Divide both sides by 2. $x=37$

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