Answer
$\frac{1}{4}$
Work Step by Step
Re-write $4\sqrt{8}=8^{\frac{1}{4}}$.
$x=\log_8{8^{\frac{1}{4}}}$
Write expression in exponential form.
$8^x=8^{\frac{1}{4}}$
Set exponents equal. (If $x^a=x^b$, then $a=b$.)
$x=\frac{1}{4}$
College Algebra (11th Edition)
by Lial, Margaret L.; Hornsby John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671791
ISBN 13:
978-0-32167-179-0
Chapter 4 - Section 4.3 - Logarithmic Functions - 4.3 Exercises - Page 423: 17
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