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: 61

Answer

$\log_{4}40=\dfrac{\ln40}{\ln4}\approx2.660964$

Work Step by Step

$\log_{4}40$ 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: $\log_{4}40=\dfrac{\ln40}{\ln4}$ Evaluate using a calculator: $\dfrac{\ln40}{\ln4}\approx2.660964$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.