Log 1/2 0,2+3 log1/5 625+1

[latex]log_\frac{1}{2}0,2+3log_\frac{1}{5}625+1=log_\frac{1}{2}\frac{1}{5}+3log_\frac{1}{5}5^4+1\\\\=log_\frac{1}{2}5^{-1}+4\cdot3log_\frac{1}{5}5+1=-log_\frac{1}{2}5+12log_\frac{1}{5}\left(\frac{1}{5}\right)^{-1}+1\\\\=-log_\frac{1}{2}5-12log_\frac{1}{5}\frac{1}{5}+1=-log_\frac{1}{2}5-12+1=-log_\frac{1}{2}5-11[/latex]