Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 4 - Section 4.4 - Laws of Logarithms - 4.4 exercises: 65

Answer

3.482892

Work Step by Step

$Use$ $the$ $Change$ $of$ $Base$ $Formula$ $and$ $a$ $calculator$ $to$ $evaluate$ $the$ $logarithm$: $\log_4 125$ Apply the Change of Base Formula: $\log_x y$ = $\frac{\log y}{\log x}$ $\log_4 125$ = $\frac{\log 125}{\log 4}$ Use a calculator and round to the sixth decimal place $\approx$3.482892
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