Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 4 - Section 4.3 - Logarithmic Functions - 4.3 Exercises: 18

Answer

a.) $\log_6 36 = 2$ b.) $\log \frac{1}{10} = -1$

Work Step by Step

$Express$ $the$ $equation$ $in$ $logarithmic$ $form:$ a.) $6^2 = 36$ b.) $10^{-1} = \frac{1}{10}$ Exponential form to logarithmic form: $b^c = a \rightarrow \log_b a = c$ a.) $6^2 = 36$ Plug in 6 for b, 2 for c, and 36 for a $6^2 = 36 \rightarrow \log_6 36 = 2$ b.) $10^{-1} = \frac{1}{10}$ Plug in 10 for b, -1 for c, and $\frac{1}{10}$ for a $10^{-1} = \frac{1}{10} \rightarrow \log_{10} \frac{1}{10} = -1 \rightarrow \log \frac{1}{10} = -1$
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