College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 6 - Section 6.6 - Logarithmic and Exponential Equations - 6.6 Assess Your Understanding: 11

Answer

$x=16$

Work Step by Step

RECALL: (1) $\log_a{b} = \log_a{c} \longrightarrow b=c$ (2) $n\cdot \log_a{b} = \log_a{(b^n)}$ (3) $\log_a{a} = 1$ Use rule (2) above to obtain: $\log_3{(x^{1/2})}=\log_3{(2^2)} \\\log_3{(x^{1/2})}=\log_3{4}$ Use rule (1) above to obtain: $x^{1/2}=4$ Square both sides to obtain: $(x^{1/2})^2=4^2 \\x=16$
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