[latex] \sqrt{3^x} * \sqrt{2^x}=6* \sqrt[5]{6} [/latex]

3^x/2*2^x/2=6^x/2 6^x/2=6^6/5     x/2=6/5  x=12/5

[latex] \sqrt{3^x} * \sqrt{2^x} =6* \sqrt[5]{6} [/latex] [latex]3^ \frac{x}{2} *2^ \frac{x}{2} =6*6^ \frac{1}{5} [/latex] [latex](3*2)^ \frac{x}{2} =6^ \frac{6}{5}[/latex] [latex]6^ \frac{x}{2} =6^ \frac{6}{5} [/latex] [latex] \frac{x}{2} = \frac{6}{5} [/latex] [latex]x= \frac{12}{5} =2 \frac{2}{5} =2,4[/latex] Ответ: 2,4.