Question

calcule o valor de x no log0,5 (1/4) =X​

Answer 1

Resposta:

2

Explicação passo a passo:

$log_{1/2}(1/4)=log_{2^{-1} }(1/2^{2} )= log_{2^{-1} }(2^{-2} )= -2(log_{2^{-1}}2)=\frac{-2}{-1}log_{2}(2)=2$

Answer 2

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{log_{(0,5)}\: \dfrac{1}{4} = x}$

$\mathsf{log_{\frac{1}{2}}\: \dfrac{1}{4} = x}$

$\mathsf{\left(\dfrac{1}{2}\right)^x = \left(\dfrac{1}{4}\right)}$

$\mathsf{\left(\dfrac{1}{2}\right)^x = \left(\dfrac{1}{2}\right)^2}$

$\boxed{\boxed{\mathsf{x = 2}}}$