Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 4 - Review - Concept Check - Page 388: 7

Answer

Please see step-by-step.

Work Step by Step

See page 354. Let $a$ be a logarithm base $(a>0, a\neq 1)$, and let $A, B$, and $C$ be any real numbers or algebraic expressions that represent real numbers, with $A>0$ and $B>0$. Then: 1. $\log_{a}(AB)=\log_{a}A+\log_{a}B$, the logarithm of a product is the sum of logarithms 2. $\displaystyle \log_{a}(\frac{A}{B})=\log_{a}A-\log_{a}B$, the logarithm of a quotient is the difference of logarithms 3. $\log_{a}(A^{c})=C\log_{a}A$, the logarithm of a power is the exponent times the logarithm of the base.
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