Log(9)9x*log(x)sqrt 3=log(1/4)sqrt 2 ПОМОГИТЕ! У меня получилсоь 3/(1-3sqrt3)

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