Answer
$\dfrac{1}{2}$
Work Step by Step
Here, $\dfrac{\log_4(x)}{\log_2(x)}=\dfrac{\frac{\ln x}{\ln 4}}{\frac{\ln x}{\ln 2}}$
This implies that $\dfrac{\log_4(x)}{\log_2(x)}=\dfrac{\ln 2}{\ln 2^2}$
or, $\dfrac{\ln 2}{2 \ln (2)}=\dfrac{1}{2}$
University Calculus: Early Transcendentals (3rd Edition)
by Hass, Joel R.; Weir, Maurice D.; Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0321999584
ISBN 13:
978-0-32199-958-0
Chapter 7 - Practice Exercises - Page 421: 25
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