5^x-6*5^-x=3,8 помогите решить

[latex]5^{x}-6\cdot 5^{-x}=3,8\\\\5^{x}-\frac{6}{5^{x}}-3,8=0\\\\t=5^{x}\ \textgreater \ 0\; ,\; \; t- \frac{6}{t} -3,8=0\; |\cdot 10\\\\10t^2-38t-60=0\; |:2\\\\5t^2-19t-30=0\\\\D=961\; ,\; \; t_1= \frac{19-31}{10}=-1,2\ \textless \ 0\; ;\\\\ t_2= \frac{19+31}{10} =5\\\\5^{x}=5\quad \to \quad x=1[/latex]