Question

$log_3~2 = log_9~4$ Cum demonstrez ? am nevoie la o problema ca sa aduc la o forma mai simpla .

Answer 1

$\text{Formule:}\\ \\\boxed{\log_{a^x}b^x = \log_{a}b}\\ \\ \boxed{\log_{a}b^x = \log_{a^{\frac{1}{x}}}b,\quad \log_{a^x}b = \log_{a}{b^{\frac{1}{x}}}}\\ \\ \\\text{Rezolvare:} \\\\\log_{3}2 = \log_{3^2}2^2 = \log_{9}4\quad \checkmark$