Question

Determine o valor do produto abaixo: log: 5. log, 2.logs 7.log23​

Answer 1

$\large\boxed{\begin{array}{l}\rm \ell og_35\cdot \ell og_72\cdot \ell og_57\cdot \ell og_23\\\sf vamos~converter~tudo~para~base~\bf{e}.\\\rm\dfrac{\diagup\!\!\!\!\!\ell n5}{\diagup\!\!\!\!\!\!\ell n3}\cdot\dfrac{\diagup\!\!\!\!\!\ell n2}{\diagup\!\!\!\!\!\ell n7}\cdot\dfrac{\diagup\!\!\!\!\!\ell n7}{\diagup\!\!\!\!\!\ell n5}\cdot\dfrac{\diagup\!\!\!\!\!\!\ell n3}{\diagup\!\!\!\!\!\ell n2}=1\end{array}}$

Answer 2

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{log_3\:5\:.\:log_7\:2\:.\:log_5\:7\:.\:log_2\:3 = \dfrac{log\:5}{log\:3}\:.\:\dfrac{log\:2}{log\:7}\:.\:\dfrac{log\:7}{log\:5}\:.\:\dfrac{log\:3}{log\:2}}$

$\boxed{\boxed{\mathsf{log_3\:5\:.\:log_7\:2\:.\:log_5\:7\:.\:log_2\:3 = 1}}}$