Oblicz: a) log625 5 b)log27 1/9

[latex]log_{625} 5 = log_{5^{4}} 5 \ {(5^4)}^c = 5 \ 5^{4c} = 5^1 \ 4c = 1 \ c = frac{1}{4} \ log_{625} 5 = frac{1}{4} \ log_{27} frac{1}{9}= log_ {3^{3}} frac{1}{3^2} = log_ {3^{3}} 3^{-2} \ {(3^{3})}^{c} = 3^{-2} \ 3^{3c} = 3^{-2} \ 3c = -2 \ c = - frac{2}{3} \ log_{27} frac{1}{9} = - frac{2}{3} [/latex]