Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 4 - Section 4.3 - Logarithmic Functions - 4.3 Exercises - Page 352: 34

Answer

(a) $\frac{1}{4}$ (b) $-\frac{1}{2}$ (c) $\frac{3}{2}$

Work Step by Step

Quick overview of the main idea of logarithms: $\log_x{a}=b$; Where $x^b=a$ --- (a) $\log_4{\sqrt2}=\log_4{4^{\frac{1}{4}}}=\frac{1}{4}$ (b) $\log_4{\frac{1}{2}}=\log_4{4^{-\frac{1}{2}}}=-\frac{1}{2}$ (c) $log_4{8} = \log_4{4^{\frac{3}{2}}}=\frac{3}{2}$
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.