a) [latex]log_{frac{1}{4}}x=-2\x=(frac{1}{4})^{-2}\x=4^2=16[/latex] b) [latex]log_{sqrt{2}}x=6\x=(sqrt{2})^6\x=2^3\x=8[/latex] c) [latex]log_{0,04}x=-frac{1}{2}\x=(frac{4}{100})^{-frac{1}{2}}\x=(frac{100}{4})^{frac{1}{2}}=sqrt{frac{100}{4}}\x=frac{10}{2}=5[/latex]
[latex]a)\x= (frac{1}{4})^{-2}=4^2=16\\b)\x=(sqrt2)^6=2^3=8\\c)\x=0,04^{- frac{1}{2}}= (frac{4}{100})^{- frac{1}{2}}=(frac{100}{4})^{frac{1}{2}}= frac{10}{2}=5 [/latex]
1) Oblicz: [latex]log_{ frac{1}{4}} [/latex][latex] frac{2 sqrt[5]{64} }{ sqrt{8}} [/latex] 2) Oblicz wartość wyrażenia: [latex] 2log_{ frac{1}{4}} 8[/latex] - [latex] log_{ sqrt{3} } 9[/latex]...
1. Oblicz: a) [latex]log_{ { sqrt{5} } }5 sqrt{5}[/latex] = b) [latex]log x_{ sqrt[3]{3} } 27[/latex] = c) [latex]log_{2}8 sqrt{2} [/latex] = d) [latex]log_{ frac{1}{3} }81sqrt{3} [/latex] =...
Zad 1 Oblicz a) [latex]log _{frac{1}{16} }} 2[/latex] b) [latex]log x_{8} sqrt{2} [/latex] c) [latex]log _{9 sqrt{3} } frac{1}{3} [/latex]...
Oblicz a) [latex]log _{5} 5 sqrt[3]{5} [/latex] - tylko ta mała 5 przy log ma być pod pierwiastkiem b) [latex]log _{2} 8sqrt{2} = [/latex] c) [latex]log _{ frac{1}{3} } 81 sqrt{3} = [/latex] d) [latex]log_{4} 8 sqrt[4]{2} = [/latex]...
Oblicz : [latex]log_{2} 8[/latex] [latex]log_{2} 16[/latex] [latex]log_{2} 4[/latex] [latex]log_{2} 2[/latex] [latex]log_{2} 1[/latex] [latex]log_{2} sqrt{2} [/latex] [latex]log_{5} frac{1}{5} [/latex] [latex]log_{5} 5[/latex] [latex]log 1...
Oblicz: a)[latex] log_{ sqrt{3} } 27=[/latex] b)[latex] log_{ sqr{ frac{1}{2} } } 32=[/latex] c)[latex] log_{7} 98- log_{7} 2 =[/latex] d)[latex]log_{6} 4 + log_{6} 9=[/latex] e)[latex]2 log5+2log2=[/latex][latex] log_{0,01} 10000=[/latex]...
