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: 20

Answer

a.) $\log_4 0.125 = -\frac{3}{2}$ b.) $\log_7 343 = 3$

Work Step by Step

$Express$ $the$ $equation$ $in$ $logarithmic$ $form:$ a.) $4^{-\frac{3}{2}} = 0.125$ b.) $7^3 = 343$ Exponential form to logarithmic form: $b^c = a \rightarrow \log_b a = c$ a.) $4^{-\frac{3}{2}} = 0.125$ Plug in 4 for b, $-\frac{3}{2}$ for c, and 0.125 for a $4^{-\frac{3}{2}} = 0.125 \rightarrow \log_4 0.125 = -\frac{3}{2}$ b.) $7^3 = 343$ Plug in 7 for b, 3 for c, and 343 for a $7^3 = 343 \rightarrow \log_7 343 = 3$
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