Answer
(a) $x=-1$
(b) $x=\frac{1}{1000}$
Work Step by Step
(a)
$x=\log_{2}(\frac{1}{2})=\log_{2}(2^{-1})=-1$
(b)
We are given:
$\log_{10^{X}}=-3$
This means:
$10^{-3}=x$
$x=10^{-3}=\frac{1}{1000}$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter 4, Exponential and Logarithmic Functions - Section 4.3 - Logarithmic Functions - 4.3 Exercises - Page 388: 41
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