Answer
(a) $x=36$
(b) $x=27$
Work Step by Step
(a)
$\log_{x}6=\frac{1}{2}$
This means:
$ x^{1/2}=6$
$x=6^2=36$
(b)
$\log_{x}3=\frac{1}{3}$
This means:
$x^{1/3}=3$
$x=3^3=27$
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: 44
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