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: 14

Answer

$x=3+\dfrac{\log12}{2\log5}\approx3.7720$

Work Step by Step

$5^{2x-6}=12$ Apply $\log$ to both sides of the equation: $\log5^{2x-6}=\log12$ Take $2x-6$ down to multiply in front of its respective $\log$: $(2x-6)\log5=\log12$ Solve for $x$: $2x-6=\dfrac{\log12}{\log5}$ $2x=6+\dfrac{\log12}{\log5}$ $x=\dfrac{6+\dfrac{\log12}{\log5}}{2}$ $x=3+\dfrac{\log12}{2\log5}\approx3.7720$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.