Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 3 - Section 3.6 - Derivatives of Logarithmic Functions - 3.6 Exercises: 1

Answer

The natural logarithmic formula is used more because it's simpler when $a = e$ because $\ln e = 1$.

Work Step by Step

$\frac{d}{dx}(\log_{a}x) = \frac{1}{x \ln a}$ From the formula we see that the main reason why the natural logarithm is used is because the differentiation formula is simpler when $a = e$ (because $\ln e = 1$).
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