how do i evaluate a log expression

log2(8)+1/2log2(4)

\(log_2(8)+\frac{1}{2}log_2(4)\\ =log_2(2^3)+\frac{1}{2}log_2(2^2)\\ =3log_2(2)+2*\frac{1}{2}log_2(2)\\ =3*1+2*\frac{1}{2}*1\\ =3+1\\ =4\)