Question

log 0,25 na base 2     por favor 

Answer 1

$log_{b}(a^{n})=n*log_{b}(a)\\log_{n}(n)=1\\\\1/a^{n}=a^{-n}$
____________________

$log_{2}(0,25)=log_{2}(1/4)\\log_{2}(0,25)=log_{2}(1/2^{2})\\log_{2}(0,25)=log_{2}(2^{-2})\\log_{2}(0,25)=(-2)*log_{2}(2)\\log_{2}(0,25)=(-2)*1\\log_{2}(0,25)=-2$

Answer 2

$log _{2}0,25=x\\ 2 ^{x}=0,25\\ 2 ^{x}= \frac{1}{4}\\\\ 2 ^{x}= \frac{1}{2 ^{2} }\\\\ 2 ^{x}=2 ^{-2}\\ \not2 ^{x}=\not2 ^{-2} \\\\ \boxed{x=-2}$

Espero que entenda. Bons estudos =)