Answer
$x=1$
Work Step by Step
$10^{2x-3}=\dfrac{1}{10}$
Rewrite this equation as $10^{2x-3}=10^{-1}$:
$10^{2x-3}=10^{-1}$
Use the one-to-one property to solve this equation:
$2x-3=-1$
Solve for $x$:
$2x=-1+3$
$2x=2$
$x=\dfrac{2}{2}$
$x=1$
Precalculus: Mathematics for Calculus, 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305071751
ISBN 13:
978-1-30507-175-9
Chapter 4 - Section 4.5 - Exponential and Logarithmic Functions - 4.5 Exercises - Page 368: 6
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