Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 6 - Inverse Functions - 6.3 Logarithmic Functions - 6.3 Exercises - Page 426: 5


(a) 4.5 (b) -4

Work Step by Step

(a) Since, $e^{lnx}=x$ Thus, $e^{ln4.5}=4.5$ (b) Use logarithmic base formulas $\log_{b}x=\frac{log x}{log b}$ $\log_{10}0.0001=\frac{log (0.0001)}{log 10}=\frac{log`10^{-4}}{log10}$ Hence, $\log_{10}0.0001=-4$
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