1)0,04^x-6*0,2^x+5=0 2)Sin6x+Cos6x=0

[latex]0.04^x-6\cdot0.2^x+5=0\\\\ 0.2^x=t\ \textgreater \ 0\\ t^2-6t+5=0\\ (t-5)(t-1)=0\\ t=1\\ t=5\\\\ 0.2^x=1\\ 0.2^x=5\\\\ x=0\\ x=\log_{0.2}5[/latex] [latex]\sin 6x+\cos6x = 0\\ \sin 6x = -\cos 6x\\ \tan 6x = -1\\ 6x = -\pi/4+\pi n\\\\ x = -\frac{\pi}{24}+\frac{\pi n}{6}, \quad n\in \mathbb{Z} [/latex]