Oblicz.  [latex] log_{3} 27 sqrt{3} - 2 log_{3} frac{ sqrt{3} }{3} + log_{3} sqrt{3} [/latex]

[latex] log_{3} 27 sqrt{3} - 2 log_{3} frac{ sqrt{3} }{3} + log_{3} sqrt{3} = log_{3} 27 sqrt{3} - log_{3} (frac{ sqrt{3} }{3})^2 + log_{3} sqrt{3}=\=log_3 27sqrt{3} - log_3 frac{1}{3}+ log_3 sqrt{3} = log_3 (frac{27sqrt{3} cdot sqrt{3}}{frac{1}{3}})=\=log_3 (frac{27 cdot 3}{frac{1}{3}})=log_3 (81 cdot 3) = log_3 243=5[/latex]

log3( 3^3*3^1/2)- log3(3/9)+ log3^1/2= log3 ((3^7/2)*9)/3 *3^1/2)=log3(3^9/2*3^1/2)=log3(3^5)=5

Zad 1. oblicz: a)[latex]log _{5}25-log_{2}3+ frac{1}{2}log_{2}36+log_{3} sqrt{3} [/latex] b)[latex]-log _{2}(log_{2} sqrt[4]{} sqrt{2})[/latex] c)[latex]49^{log_{7} } ^{5} +10^{1-log_{5} } [/latex] d)[latex](log_{a}b+log_{b}a+2)(log_{a}b-log_{ab}b)*lo

Zad 1. oblicz: a)[latex]log _{5}25-log_{2}3+ frac{1}{2}log_{2}36+log_{3} sqrt{3} [/latex] b)[latex]-log _{2}(log_{2} sqrt[4]{} sqrt{2})[/latex] c)[latex]49^{log_{7} } ^{5} +10^{1-log_{5} } [/latex] d)[latex](log_{a}b+log_{b}a+2)(log_{a}b-log_{ab...

1 Oblicz a. log 100 + log 4 [latex] frac{1}{16} [/latex] b. log [latex] 10^{7} [/latex] - log 0,5 8 c. log 6 [latex] frac{1}{36} [/latex] + log [latex] sqrt[3]{10} [/latex] d. log [latex] sqrt[4]{10} [/latex] - log 3 [latex] sqrt[4]{3} [/latex] e. lo

1 Oblicz a. log 100 + log 4 [latex] frac{1}{16} [/latex] b. log [latex] 10^{7} [/latex] - log 0,5 8 c. log 6 [latex] frac{1}{36} [/latex] + log [latex] sqrt[3]{10} [/latex] d. log [latex] sqrt[4]{10} [/latex] - log 3 [latex] sqrt[4]{3} [/latex] ...

oblicz a)[latex]log_{2}6+log_{2}12+log_{2}frac{4}{9}[/latex] b)[latex](7^{sqrt{2})sqrt{2}[/latex] c) [latex](frac{16}{81})^{frac{1}{4}}[/latex]

oblicz a)[latex]log_{2}6+log_{2}12+log_{2}frac{4}{9}[/latex] b)[latex](7^{sqrt{2})sqrt{2}[/latex] c) [latex](frac{16}{81})^{frac{1}{4}}[/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 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 logarytmy. log[latex] log_{4} 8 sqrt[4]{2} log_{ frac{1}{5} } 25 sqrt{5} log _{ sqrt{3} } sqrt[3]{9} [/latex] PROSZĘ O ROZWIĄZANIE. POTRZEBUJĘ NA JUTRO. :)

Oblicz logarytmy. log[latex] log_{4} 8 sqrt[4]{2} log_{ frac{1}{5} } 25 sqrt{5} log _{ sqrt{3} } sqrt[3]{9} [/latex] PROSZĘ O ROZWIĄZANIE. POTRZEBUJĘ NA JUTRO. :)...