Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 9 - Review: 101

Answer

$x=\dfrac{\log4+5\log5}{3\log5}\\\\ x\approx1.9538 $

Work Step by Step

Getting the logarithm of both sides and then using the properties of logarithms, the value of $x$ in the expression $ 5^{3x-5}=4 $ is \begin{array}{l} \log5^{3x-5}=\log4\\\\ (3x-5)\log5=\log4\\\\ 3x\log5-5\log5=\log4\\\\ 3x\log5=\log4+5\log5\\\\ x=\dfrac{\log4+5\log5}{3\log5}\\\\ x\approx1.9538 .\end{array}
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