## College Algebra (11th Edition)

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