Answer
It is not possible to find the value of $\log_2(-2)$
Work Step by Step
Remember that $\log_ax$, for any $a\gt1$ (it includes $a=2$), has as domain $x\gt0$. But, $-2\lt0$. So, it is not possible to find the value of $\log_2(-2)$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 5 - 5.3 - Properties of Logarithms - 5.3 Exercises - Page 385: 23
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