College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 4 - Section 4.2 - Exponential Functions - 4.2 Exercises - Page 410: 66

Answer

$x=0$

Work Step by Step

We rewrite the 25 on the right side, so that the base is 5 on both sides. $5^{2+2x}=25 \\5^{2+2x}=5^2$ Then we set the exponents equal, because the two sides are equal only if the powers are equal too: $2+2x=2$ $2x=2-2$ $2x=0 \\x=0$
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