Answer
$\approx2.124$
Work Step by Step
Using the Change-of-Base Formula we know that $\log_a{b}=\frac{\log_c{b}}{\log_c{a}}$.
Evaluate the given expression using a calculator to obtain:
$\log_4{19}=\frac{\ln{19}}{\ln{4}}=2.12396\approx2.124.$
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 5 - Exponential and Logarithmic Functions - Chapter Review - Review Exercises - Page 346: 28
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