## Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole

# Chapter 4 - Section 4.4 - Laws of Logarithms - 4.4 exercises - Page 359: 19

200

#### Work Step by Step

$\log_4 16^{100}$ Use the Third Law of Logarithms 100$\log_4 16$ 100$\log_4 4^2$ Use the Third Law of Logarithms again 100$\times$2$\log_4 4$ 100$\times$2$\times$1 (since $\log_x x$ = 1) =200

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