-
log_ab=x
b=a^x
log0,0001=x
a=10
10^x=0,0001
10^x=\frac{1}{10000}
10^x=(\frac{1}{10})^4
10^x=10^{-4}
x=-4
albo
{log0,0001=log\frac{1}{1000}=log(\frac{1}{10})^4=log10^{-4}=-4log10=-4\cdot 1=-4}
-
log_5(125\cdot 25)=log_5125+log_525=log_55^3+log_55^2=3+2=5
-
5log_52-log_54+2=
=log_52^5-log_54+log_55^2
=log_532-log_54+log_525
=log_5(32:4)+log_525
=log_58+log_525
=log_5(8\cdot 25)
=log_5200