Вычислите логарифм [latex] log_{ \sqrt{2}+ \sqrt{1} }( \sqrt{2} - \sqrt{1})[/latex]

[latex]\sqrt1=1\; \; \to [/latex]    [latex]\sqrt2-1=\frac{(\sqrt2-1)(\sqrt2+1)}{\sqrt2+1}=\frac{2-1}{\sqrt2+1}=\frac{1}{\sqrt2+1}\\\\\log_{\sqrt2+1}{(\sqrt2-1)}=\log_{\sqrt2+1}\frac{1}{\sqrt2+1}=\\\\=\log_{\sqrt2+1}{(\sqrt2+1)^{-1}}=-\log_{\sqrt2+1}{(\sqrt2+1)}=-1[/latex]