Zad oblicz x gdy A) log_2 x=3 B) log_256 4=x C) log_125 1/5 =x

a) [latex] log_{2} [/latex] x = 3 2³ =x ⇒ x = 8 b) [latex] log_{256} 4 = x[/latex] [latex] log_{ 2^{8} }2^{2} = x[/latex] [latex] 2^{8*x } = 2^{2} [/latex] 8*x = 2 x = [latex] frac{1}{4} [/latex] c) [latex] log_{125} frac{1}{5} =x[/latex] [latex] log_{5 ^{3} } 5^{-1} =x[/latex] [latex] 5^{3*x}= 5^{-1} [/latex] 3*x=-1 x=[latex]- frac{1}{3} [/latex]