Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.4 Evaluation Logarithms and the Change-of-Base Theorem - 4.4 Exercises - Page 456: 8

Answer

between $3$ and $4$

Work Step by Step

Since, $2^3 =8$ and $2^4=16$ We can see that for $2^x=12$, the value for exponent $x$ must be between $3$ and $4$. Therefore, our answer must be between $3$ and $4$.
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