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: 15

Answer

a.) $e^{3y} = 5$ b.) $e^{-1} = (t+1)$

Work Step by Step

$Express$ $the$ $equation$ $in$ $exponential$ $form:$ a.) $\ln 5 = 3y$ b.) $\ln (t+1) = -1$ Natural Log form to exponential form: $\ln a = b \rightarrow e^b = a$ [Note: e means euler's number, NOT a variable] a.) $\ln 5 = 3y$ Plug in 5 for a and 3y for b $\ln 5 = 3y \rightarrow e^{3y} = 5$ b.) $\ln (t+1) = -1$ Plug in (t+1) for a and -1 for b $\ln (t+1) = -1 \rightarrow e^{-1} = (t+1)$
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