[latex]\a) \x^{-2}=frac14 \x^{-2}=2^{-2} \x=2 \b) \x^3=7 \x=sqrt[3]7 \c) \x=5^3=125 \d) \(frac14)^{-frac12}=x \x=4^{frac12}=sqrt4=2 [/latex] Na podstawie definicji logarytmu (w zalaczniku)
a) [latex]log_{x}frac{1}{4}=-2\x^{-2}=frac{1}{4}\x^{-2}=2^{-2}\x=2[/latex] b) [latex]log_{x}7=3\x^{3}=7\x=sqrt[3]{7}[/latex] c) [latex]log_{5}x=3\x=5^{3}\x=125[/latex] d) [latex]log_{frac{1}{4}}x=-frac{1}{2}\x=(frac{1}{4})^{-frac{1}{2}}\x=2[/latex]
Oblicz: a)[latex]log_410+log_4 frac{2}{5}[/latex] b)[latex]log_248-log_23 =[/latex] c)[latex]log_5sqrt{10}-log_5sqrt{2}[/latex] d)[latex]frac{log_37}{log_349}[/latex] ...
Oblicz: log[latex]log_{3}[/latex] [latex]frac{4}{3}[/latex]+ log[latex]log_{3}[/latex] [latex]frac{27}{4}[/latex]...
LOGARYTMY ;)Oblicz: [latex]log_{2} [/latex]64 , [latex]log_{10} [/latex]100 , [latex] log_{3} frac{1}{9} [/latex] , [latex]log_{5} [/latex]25 , log 0,0001...
Oblicz logarytmy; a) [latex]log_{frac{1}{16}}frac{1}{216}[/latex] b) [latex]log_{frac{1}{2}}-log_{frac{1}{2}}3[/latex]...
oblicz x: ( cale rozwiazanie a nie tylko wynik) : a) [latex]log_x(2x+3)=0[/latex] b) [latex]log_x frac{1}{8} =3[/latex] c) [latex]log_x 125=3[/latex] d) [latex]log_x frac{1}{27} = - 3[/latex] e) [latex]log_x frac{1}{25} = - 2[/latex]...
