Answer
$\approx 2.338$
Work Step by Step
The base of the logarithm is not $10$, therefore you require the change of base formula before evaluating:
$ \log_{14} 478$
$= \frac{\log 478}{\log 14}$
$= 2.33780...$
$\approx 2.338$.
Intermediate Algebra: Connecting Concepts through Application
by Clark, Mark; Anfinson, Cynthia
Published by
Brooks Cole
ISBN 10:
0-53449-636-9
ISBN 13:
978-0-53449-636-4
Chapter 6 - Logarithmic Functions - 6.2 Logarithmic Functions - 6.2 Exercises - Page 504: 49
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