Wiadomo, że  [latex] log_{0,25} x =-3 , \ log_{32} y= frac{3}{5} , \ log_{2} z=6 [/latex] Oblicz x *y*z

[latex]log_{frac{1}{4}}x=-3;;;tzn.;;(frac{1}{4})^{-3}=x[/latex] [latex]4^3=x;;;;czyli;;;;x=64[/latex] [latex]log_{32}y=frac{2}{5};;;tzn.;;;y=32^{frac{2}{5}}=sqrt[5]{32^2}=2^2=4[/latex] [latex]log_2z=6;;;tzn.;;;;z=2^6=64[/latex] [latex]xyz=64*4*64=4^3*4*4^3=4^7=16384[/latex]