College Algebra (11th Edition)

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

Chapter 4 - Test - Page 472: 4


a) $\log_4 8=\dfrac{3}{2}$ b) $8^{2/3}=4$

Work Step by Step

a) Since $\log_by=x$ is equivalent to $y=b^x$, the given equation, $ 4^{3/2}=8 ,$ above, in logarithmic form, is equivalent to \begin{array}{l}\require{cancel} \log_4 8=\dfrac{3}{2} .\end{array} b) Since $\log_by=x$ is equivalent to $y=b^x$, the given equation, $ \log_8 4=\dfrac{2}{3} ,$ above, in exponential form, is equivalent to \begin{array}{l}\require{cancel} 8^{2/3}=4 .\end{array}
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