[latex]36* 6^{x^2}= 36^{x}* 6^{3} [/latex]

[latex]36*6^{x^2}=36^x*6^3[/latex] [latex]6^2*6^{x^2}=(6^2)^x*6^3[/latex] [latex]6^{2+x^2}=6^{2x+3}[/latex] [latex]2+x^2=2x+3[/latex] [latex]x^2-2x+2-3=0[/latex] [latex]x^2-2x-1=0[/latex] [latex]D=(-2)^2-4*1*(-1)=4+4=8=4*2=2^2*2[/latex] [latex]x_{1,2}=\frac{2^+_-2\sqrt{2}}{2*1}=1^+_-\sqrt{2}[/latex]