## College Algebra (10th Edition)

$x=3$
RECALL: $\log_a{x}=y \longrightarrow a^y = x$ Use the rule above to obtain: $\log_4{64}=x \\\longrightarrow 4^x=64$ Note that $64=4^3$. Thus, the expression above is equivalent to: $4^x=4^3$ Use the rule $a^m=a^n \longrightarrow m=n$ to obtain: $x=3$