Answer
$x=\frac{10^{-0.8}+2}{3}\approx0.7195$
Work Step by Step
$\log (3x-2)=-0.8$
Rewriting in exponential form, $3x-2=10^{-0.8}$.
Now solving for x:
$3x-2=10^{-0.8}$
$3x=10^{-0.8}+2$
$x=\frac{10^{-0.8}+2}{3}\approx0.7195$.
Algebra: A Combined Approach (4th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321726391
ISBN 13:
978-0-32172-639-1
Chapter 12 - Section 12.7 - Common Logarithms, Natural Logarithms, and Change of Base - Exercise Set - Page 890: 46
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