Question

Usando a definição,calcule


$log_{2}( \sqrt{8} )$
$log_{ \frac{2}{3} }( \frac{8}{27} )$
$log_{2}(0.25)$
se possível, explique como resolveu​

Answer 1

a) log2(√8)

= log2(2^(3/2) = 3/2 * log2(2) = 3/2

b)

log2/3(8/27) = log2/3*( (2/3)^3) = 3

c)

log2(0.25) = log2(1/4) = -2log(2)/log(2) = -2