Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Section 3.4 - Exponential and Logarithmic Equations - Exercise Set - Page 488: 11



Work Step by Step

RECALL: (i) If $a^M=a^N$, then $M=N.$ (ii) $(a^m)^n=a^{mn}.$ Write 9 and 27 as powers of 3: $9^{x}=27 \\(3^2)^x=3^3.$ Use rule (ii) above to obtain $3^{2x}=3^3.$ Use rule (i) above to obtain $2x=3 \\x=\frac{3}{2}.$
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