Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 6 - Exponential Functions and Sequences - 6.5 - Solving Exponential Equations - Exercises - Page 330: 41

Answer

Three times.

Work Step by Step

We need to solve the equation $2^{x+2}=32$. Rewriting $32$ as $2^{5}$, we obtain $2^{x+2}=2^{5}$. Equating the exponents, we have $x+2=5$ $\implies x=5-2=3$. The photo must be enlarged three times.
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