Решите уравнение [latex]9cdot5^{2x-4}+4cdot 5^{8-2x}=325 [/latex]

[latex]9cdot5^{2x-4}+4cdot 5^{8-2x}=325\ 9cdot5^{2x-4}+4cdot5^4cdot5^{4-2x}=325\ 9cdot5^{2x-4}+2500cdot5^{4-2x}=325\ t=5^{2x-4}:;9t+frac{2500}t=325\ 9t^2-325t+2500=0\ 9t(t-25)-100(t-25)=0\ tinlbrace25,frac{100}9brace\ (2x-4)inlbrace2,log_5frac{100}9brace\ (x-2)inlbrace1,log_5frac{10}3brace\ xinlbrace3,2+log_5frac{10}3brace[/latex]