Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 4 - Section 4.4 - Laws of Logarithms - 4.4 exercises: 6

Answer

(a) $10$; $e$; change-of-base $\log{12}$; $\log{7}$; $1.2770$ (b) yes

Work Step by Step

RECALL: The change-of-base formula for logarithms: $\log_a{b} = \dfrac{\log{b}}{\log{a}}$ This formula works for any base Most calculators can compute logarithms with base $10$ and base $e$. In using a calculator to evaluate logarithms with base other than $10$ and $e$, the change -of-base formula above will be used. (a) Therefore, the missing expressions in the given statement (in order) are: $10$; $e$; change-of-base $\log{12}$; $\log{7}$; $1.2770$ (b) The change-of-base formula will give the same answer even if different bases are used. Thus, using $\ln{}$ in place of $\log{}$ will give the same answer.
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.