Answer
false,
$\log_{2}x^{4}=4\log_{2}x$
Work Step by Step
The Power Rule: $\log_{\mathrm{b}}\mathrm{M}^{\mathrm{p}}=\mathrm{p}\log_{\mathrm{b}}\mathrm{M}$
The RHS , $4\log_{2}x$=$\log_{2}x^{4}$
The statement is false.
To correct it change the LHS to $\log_{2}x^{4}$
