Simplify expression. log 500 + log 5/8 - 1/2 log 64

[latex]log500+log\frac{5}{8}-\frac{1}{2}log64=log(100\cdot5)+log(5:8)-log64^\frac{1}{2}\\\\=log100+log5+log5-log8-log\sqrt{64}=log10^2+2log5-log8-log8\\\\=2log10+2log5-2log8=2+2log5-2log8=2(1+log5-log8)[/latex]