## Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley

# Chapter 5 - Logarithmic Functions - 5.1 Logarithms and Their Properties - Exercises and Problems for Section 5.1 - Exercises and Problems - Page 193: 11

#### Answer

$3$

#### Work Step by Step

We know that $\log_ab=c\Leftrightarrow a^c=b$ and $\ln b=c\Leftrightarrow e^c=b$. Also, $\log_a a^x=x$ and $\log_a b^x=x\log_a b$ Hence here: $\log1000=\log10^3=3\log10=3\cdot1=3$

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