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 - Page 352: 23

Answer

a.) $\ln 2 = x$ b.) $\ln y = 3$

Work Step by Step

$Express$ $the$ $equation$ $in$ $logarithmic$ $form:$ a.) $e^x = 2$ b.) $e^3 = y$ Exponential form to natural log form: $e^b = a \rightarrow \ln a = b$ [Note: e means euler's number, NOT a variable] a.) $e^x = 2$ Plug in x for b and 2 for a $e^x = 2 \rightarrow \ln 2 = x$ b.) $e^3 = y$ Plug in 3 for b and y for a $e^3 = y \rightarrow \ln y = 3$
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