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: 65

Answer

$x=0$

Work Step by Step

We rewrite the 8 on the right, so that the base is $2$ on both sides. $2^{3-2x}=8 \\2^{3-2x}=2^3$ Then we set the exponents equal, because the two sides are equal only if the powers are equal too: $3-2x=3$ $3-3 = 2x$ $0=2x \\0=x$
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