Intermediate Algebra: Connecting Concepts through Application

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: 49

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$ $= \frac{\log 478}{\log 14}$ $= 2.33780...$ $\approx 2.338$.
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