## Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole

# Chapter 4 - Section 4.4 - Laws of Logarithms - 4.4 exercises: 21

4

#### Work Step by Step

$\log (\log 10^{10000})$ Since no base is provided, we assume it's 10 Apply the Third Law of Logarithms to the log inside the parenthesis $\log (10000\log 10)$ $\log(10000\times1)$ (since $\log_x x$ = 1) $\log 10000$ $\log 10^4$ Apply the Third Law of Logarithms again 4$\times$$\log 10$ 4$\times$1 =4

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