Answer
$a=2^{1/4}$
Work Step by Step
We are asked to find a graph of $y=log_a(x)$ that contains the point (.5, -4). This implies:
$a^y=x$
$a^{(-4)}=.5$
$a=(.5)^{(-1/4)}$
$a=2^{1/4}$
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter 6 - Section 6.4 - Logarithmic Functions - 6.4 Assess Your Understanding - Page 449: 60
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