## Precalculus (6th Edition) Blitzer

Published by Pearson

# Chapter 3 - Section 3.2 - Exponential Functions - Exercise Set - Page 464: 84

#### Answer

$8$

#### Work Step by Step

RECALL $y=\log{x} \longleftrightarrow 10^y=x.$ Let $y=\log{10^8}.$ Use the definition above to obtain $y=\log{10^8} \longrightarrow 10^y=10^8.$ Use the rule "if $a^x=a^y$, then $x=y$" to obtain $y=8.$ Therefore, $\log{10^8} = 8.$

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