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 - Exercises to Skills for Chapter 5 - Page 232: 34


$=1$ ($x \gt 0$)

Work Step by Step

Using the fact that $\log(a/b)=\log(a)-\log(b)$, the expression simplifies to $$\log\left(\frac{10x}{x}\right)=\log(10)$$ Since $10=10^1$, the expression becomes $\log(10^1)=1$. (Note that $x > 0$ since $\log x$ has a positive $x$ value.)
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