Question

Se log 2 = a e log 3 = b ent˜ao log5 18 ´e igual a:

(a) a+b/1−a

(b) 2a+b/1+a

(c) a+2b/1+a

(d) a+2b/1−a

(e) 2a−b/1+2a

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{log\:2 = a}$

$\mathsf{log\:3 = b}$

$\mathsf{log_5\:18 = \dfrac{log\:18}{log\:5}}$

$\mathsf{log_5\:18 = \dfrac{log\:(2.3^2)}{log\:(10/2)}}$

$\mathsf{log_5\:18 = \dfrac{log\:2 + 2\:log\:3}{log\:10 - log\:2}}$

$\boxed{\boxed{\mathsf{log_5\:18 = \dfrac{a + 2b}{1 - a}}}}\leftarrow\textsf{letra D}$