Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 5 - Exponential and Logarithmic Functions - 5.5 Properties of Logarithms - 5.5 Assess Your Understanding - Page 305: 26



Work Step by Step

We know that $\log_a {x}+\log_a {y}=\log_a {(x\cdot y)}$. Hence, $5^{\log_5{6}+\log_5 {7}}=5^{\log_5 {(6\cdot 7)}}=5^{\log_5{42}}$. We also know that $a^{\log_a {x}}=x$. Thus, $5^{\log_5 {42}}=42$
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