Решите уравнение (2,5)^2x-3=15 целых 5/8

[latex]2,5^{2x-3}=15 \frac{5}{8} [/latex] [latex]2,5^{2x-3}=\frac{125}{8}[/latex] [latex]2,5^{2x}*2,5^{-3}=15,625[/latex] [latex]2,5^{2x}* \frac{1}{15,625}=15,625[/latex] [latex]2,5^{2x}=15,625*15,625 [/latex] [latex] ((2,5)^{x})^2=(15,625)^2[/latex] [latex] 2,5^{x}=15,625[/latex] [latex]2,5^x=2,5^3[/latex] [latex]x=3[/latex]