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: 16


a.) $e^2 = (x+1)$ b.) $ e^4 = (x-1)$

Work Step by Step

$Express$ $the$ $equation$ $in$ $exponential$ $form:$ a.) $\ln (x+1) = 2$ b.) $\ln (x-1) = 4$ Natural Log form to exponential form: $\ln a = b \rightarrow e^b = a$ [Note: e means euler's number, NOT a variable] a.) $\ln (x+1) = 2$ Plug in (x+1) for a and 2 for b $\ln (x+1) = 2 \rightarrow e^2 = (x+1)$ b.) $\ln (x-1) = 4$ Plug in (x-1) for a and 4 for b $\ln (x-1) = 4 \rightarrow e^4 = (x-1)$
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