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:
$(x^{1/2})^2=4^2
\\x=16$
