log 64 (4)=1/3 is the final answer
[tex] b^{a} = c \\ \\In\ logarithmic\ form\ it\ can\ be\ written\ as \\ \\log_{b}c=a. \\ \\ So.\ in\ our\ case \\ \\64^{\frac{1}{3}}=4 \\ \\ log_{64}4=\frac{1}{3}[/tex]