Oblicz: log[latex]log_{3}[/latex] [latex]frac{4}{3}[/latex]+ log[latex]log_{3}[/latex] [latex]frac{27}{4}[/latex]

Oblicz: log[latex]log_{3}[/latex] [latex]frac{4}{3}[/latex]+ log[latex]log_{3}[/latex] [latex]frac{27}{4}[/latex]
Odpowiedź

[latex]log_3frac{4}{3}+log_3frac{27}{4}=log_3(frac{4}{3}*frac{27}{4})=log_39=2[/latex]

log3 4/3 + log3 27/4 = log3 (4/3 * 27/4) = log3 9 = log3 3^2 = 2 * lo3 3 = 2 * 1 = 2

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