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 - Chapter Review Exercises: 37

Answer

$x\approx2.656$

Work Step by Step

Take the log of both sides, and then use the power property to solve. $6^{3x-5}=204$ $(3x-5)\log6=\log204$ $3x-5=\frac{\log204}{\log6}$ $3x=5+\frac{\log204}{\log6}$ $x\approx2.656$
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