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: 14

Answer

a.) $6^1 = z$ b.) $10^{2t} = 3$

Work Step by Step

$Express$ $the$ $equation$ $in$ $exponential$ $form:$ a.) $\log_ 6 z = 1$ b.) $\log_{10} 3 = 2t$ Logarithmic form to exponential form: $\log_b a = c \rightarrow b^c = a$ a.) $\log_ 6 z = 1$ Plug in 6 for b, $z$ for a, and 1 for c $\log_ 6 z = 1 \rightarrow 6^1 = z$ b.) $\log_{10} 3 = 2t$ Plug in 10 for b, 3 for a, and 2t for c $\log_{10} 3 = 2t \rightarrow 10^{2t} = 3$
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