Question

Se log 2=x e log 3= y, ENTAO log5 18 vale

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\sf log\:2 = x$

$\sf log\:3 = y$

$\sf log_5\:18 = \left({\dfrac{log\:18}{log\:10/2}\right)}$

$\sf log_5\:18 = \left({\dfrac{log\:2\:.\:3^2}{log\:10/2}\right)}$

$\sf log_5\:18 = \left(\dfrac{log\:2 + 2\:.\:log\:3}{log\:10 - log\:2\right)}$

$\boxed{\boxed{\sf log_5\:18 = \dfrac{x + 2y}{1 - x}}}$