Answer
$1.5937$
Work Step by Step
Apply the Change of base property: $\displaystyle \quad \log_{b}M=\frac{\log_{a}M}{\log_{a}b}$
change to base 10 (common logarithm)
$\displaystyle \log_{5}13=\frac{\log 13}{\log 5}\approx 1.5937$
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 3 - Section 3.3 - Properties of Logarithms - Exercise Set - Page 475: 71
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