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: 11

Answer

a.) $8^{\frac{1}{3}} = 2$ b.) $10^{-2} = 0.01$

Work Step by Step

$Express$ $the$ $equation$ $in$ $exponential$ $form:$ a.) $\log_8 2 = \frac{1}{3}$ b.) $\log_{10} 0.01 = -2$ Logarithmic form to exponential form: $\log_b a = c \rightarrow b^c = a$ a.) $\log_8 2 = \frac{1}{3}$ Plug in 8 for b, 2 for a, and $\frac{1}{3}$ for c $\log_8 2 = \frac{1}{3} \rightarrow 8^{\frac{1}{3}} = 2$ b.) $\log_{10} 0.01 = -2$ Plug in 10 for b, 0.01 for a, and -2 for c $\log_{10} 0.01 = -2 \rightarrow 10^{-2} = 0.01$
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