Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 1 - Functions - 1.3 Inverse, Exponential, and Logarithmic Functions - 1.3 Exercises: 62

Answer

$\log_{6}60=\dfrac{\ln60}{\ln6}\approx2.285097$

Work Step by Step

$\log_{6}60$ Apply the change of base formula, which is $\log_{b}x=\dfrac{\log_{a}x}{\log_{a}b}$, to express the given $\log$ in terms of the natural logarithm: $\log_{6}60=\dfrac{\ln60}{\ln6}$ Evaluate using a calculator: $\dfrac{\ln60}{\ln6}\approx2.285097$
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