College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 4, Exponential and Logarithmic Functions - Section 4.3 - Logarithmic Functions - 4.3 Exercises: 36

Answer

(a) $x=\dfrac{1}{9}$ (b) $x=3$

Work Step by Step

RECALL: $\log_b{x}=y \longrightarrow b^x=y$ Use the rule above to obtain: (a) $\begin{array}{ccc} &3^{-2}&=&x \\&\dfrac{1}{3^2}&=&x \\&\dfrac{1}{9}&=&x \end{array}$ (b) $\begin{array}{ccc} &5^x&=&125 \\&5^x&=&5^3 \end{array}$ Use the rule $a^m=a^n \longrightarrow m=n$ to obtain: $x=3$
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