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

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 5 - Logarithmic Functions - 5.1 Logarithms and Their Properties - Exercises and Problems for Section 5.1 - Exercises and Problems - Page 193: 19



Work Step by Step

Since $10(10)=100$, $100=10^2$. Since $\log a^b=b \log a$, the expression can be rewritten as $$\log 100=\log 10^2=2 \log 10$$ Since $\log 10=1$, the expression becomes $2 \cdot 1=2$. This leaves $10^{\log 100}=10^2=100.$
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