Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 12 - Section 12.8 - Exponential and Logarithmic Equations and Problem Solving - Exercise Set: 10

Answer

$x=2+\dfrac{\log12}{\log8}\approx3.1950$

Work Step by Step

$8^{x-2}=12$ Apply $\log$ to both sides of the equation: $\log8^{x-2}=\log12$ Take $x-2$ down to multiply in front of its respective $\log$: $(x-2)\log8=\log12$ Solve for $x$: $x-2=\dfrac{\log12}{\log8}$ $x=2+\dfrac{\log12}{\log8}\approx3.1950$
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