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: 13

Answer

a.) $3^x = 5$ b.) $7^2 = 3y$

Work Step by Step

$Express$ $the$ $equation$ $in$ $exponential$ $form:$ a.) $\log_3 5 = x$ b.) $\log_7 (3y) = 2$ Logarithmic form to exponential form: $\log_b a = c \rightarrow b^c = a$ a.) $\log_3 5 = x$ Plug in 3 for b, 5 for a, and $x$ for c $\log_3 5 = x \rightarrow 3^x = 5$ b.) $\log_7 (3y) = 2$ Plug in 7 for b, 3y for a, and 2 for c $\log_7 (3y) = 2 \rightarrow 7^2 = 3y$
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