Question

O VALOR DE LOG64 1/512 CORRESPONDE A: A) -9/5 B) -3/2 C) 5/9 d) 3/2

Answer 1

$\displaystyle \log_{64} \dfrac{1}{512} =\log_{64} 2^{-9} =-9.\log_{64} 2=-9. \dfrac{\log_{2} 2}{\log_{2} 64} =-9. \dfrac{1}{\log_{2} 2^{6} }$$=-9. \dfrac{1}{6.\log_{2} 2} =-9. \dfrac{1}{6.1} =-\dfrac{9}{6}=-\dfrac{9:3}{6:3}=-\dfrac{3}{2}$

Letra b)

Answer 2

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{log_{64}\left(\dfrac{1}{512}\right) = x}$

$\mathsf{log_{2^6}\:2^{-9} = x}$

$\mathsf{-\dfrac{3}{2}\:.\:log_{2}\:2 = x}$

$\boxed{\boxed{\mathsf{x = -\dfrac{3}{2}}}}$