Question

dados log a =1 log b =2 e log c=1 calcule ​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\sf{log\:a = 1}$

$\sf{log\:b = 2}$

$\sf{log\:c = 1}$

$\sf{log\left(\dfrac{a\sqrt{b}}{c^3}\right) = log\:a + log\:b^{\frac{1}{2}} - log\:c^3}$

$\sf{log\left(\dfrac{a\sqrt{b}}{c^3}\right) = log\:a + \dfrac{1}{2}\:.\:log\:b - 3\:.\:log\:c}$

$\sf{log\left(\dfrac{a\sqrt{b}}{c^3}\right) = 1 + \dfrac{1}{\not2}\:.\:\not2 - 3\:.\:1}$

$\sf{log\left(\dfrac{a\sqrt{b}}{c^3}\right) = 1 + 1 - 3}$

$\boxed{\boxed{\sf{log\left(\dfrac{a\sqrt{b}}{c^3}\right) = -1}}}$