Answer
$x=r+s+2$
Work Step by Step
Given that $2^r=5 \quad$ and $\quad 2^s=7$, we have
$$
\begin{aligned}
2^x & =140 \\
& =5 \cdot 7 \cdot 4 \\
& =2^r \cdot 2^s \cdot 2^2 \\
& =2^{r+s+2}
\end{aligned}
$$
so $x=r+s+2$
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
Published by
Wiley
ISBN 10:
1118583191
ISBN 13:
978-1-11858-319-7
Chapter 4 - Exponential Functions - Exercises to Skills for Chapter 4 - Page 186: 76
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