College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 4 - Mid-Chapter Check Point - Page 479: 15

Answer

no real solution

Work Step by Step

We know that $y=log_{b}x$ is equivalent to $b^{y}=x$ (where $x\gt0$, $b\gt0$, and $b\ne1$). Therefore, $log_{3}(log_{2}\frac{1}{8})=log_{3}(-3)$, which does not have a solution (as there is no real number $a$ such that $3^{a}=-3$).
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