Question

Log(9)9x*log(x)sqrt 3=log(1/4)sqrt 2 ПОМОГИТЕ!

У меня получилсоь 3/(1-3sqrt3)

Answer 1

Решение на фотографии.

Answer 2

$log_{9}(9x)*log_{x}(\sqrt{3})=log_{4^{-1}}(\sqrt{2})$
$log_{3^{2}}(9x)*log_{x}(3^{0.5})=log_{2^{-2}}(2^{0.5})$
$0.5*(log_{3}9+log_{3}x)*0.5*log_{x}(3)=-0.5*0.5*log_{2}(2)$
$0.25*(2+log_{3}x)*log_{x}(3)=-0.25$
$(2+log_{3}x)*log_{x}(3)=-1$
$(2+log_{3}x)* \frac{1}{log_{3}x}=-1$
$\frac{2}{log_{3}x}+1=-1$
$\frac{2}{log_{3}x}=-2$
$\frac{1}{log_{3}x}=-1$
$log_{3}x}=-1$
$x=3^{-1}=\frac{1}{3}$