3^(2*x+1)+2*3^(2*x) меньше = 5^(2*x+1)-2*5^(2*x)

[latex] 3^{2x+1}+2* 3^{2x} \leq 5^{2x+1}-2* 5^{2x} [/latex] [latex]3* 3^{2x}+2* 3^{2x} \leq 5* 5^{2x}-2* 5^{2x} [/latex] [latex]5* 3^{2x} \leq 3* 5^{2x}[/latex] [latex] 3^{2x} \leq \frac{3}{5} * 5^{2x}[/latex] [latex]( \frac{3}{5} )^{2x} \leq \frac{3}{5}[/latex] [latex]( \frac{3}{5} )^{2x} \leq ( \frac{3}{5})^1[/latex] [latex]2x \geq 1[/latex] [latex]x \geq 0.5[/latex] [latex]x[/latex] ∈ [latex][0.5;+[/latex] ∞ [latex])[/latex]