## Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole

# Chapter 4 - Section 4.3 - Logarithmic Functions - 4.3 Exercises: 21

#### Answer

a.) $\log_4 70 = x$ b.) $\log_3 w = 5$

#### Work Step by Step

$Express$ $the$ $equation$ $in$ $logarithmic$ $form:$ a.) $4^x = 70$ b.) $3^5 = w$ Exponential form to logarithmic form: $b^c = a \rightarrow \log_b a = c$ a.) $4^x = 70$ Plug in 4 for b, x for c, and 70 for a $4^x = 70 \rightarrow \log_4 70 = x$ b.) $3^5 = w$ Plug in 3 for b, 5 for c, and w for a $3^5 = w \rightarrow \log_3 w = 5$

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