Question

10- Sendo log a = 1/2 , log b = 5 e log c = 2, determine o valor da expressão log a*2.b/c

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{log\:a = \dfrac{1}{2} \iff log\:b = 5 \iff log\:c = 2}$

$\mathsf{log\:\dfrac{a^2.b}{c} = 2\:log\:a + log\:b - log\:c}$

$\mathsf{log\:\dfrac{a^2.b}{c} = 2\left(\dfrac{1}{2}\right) + 5 - 2}$

$\mathsf{log\:\dfrac{a^2.b}{c} = 1 + 5 - 2}$

$\boxed{\boxed{\mathsf{log\:\dfrac{a^2.b}{c} = 4}}}$