1/(5^x+31) больше 4/(5^(x+1)-1)

[latex] \frac{1}{5^x+31} \ \textgreater \ \frac{4}{5^{x+1}-1} \\ \frac{5^{x+1}-1}{(5^x+31)(5^{x+1}-1)} \ \textgreater \ \frac{4*5^x+124}{(5^x+31)(5^{x+1}-1)} \\ 5*5^x-4*5^x\ \textgreater \ 125 \\ 5^x\ \textgreater \ 5^3 \\ x\ \textgreater \ 3 \\ \\ 5^{x+1}-1 \neq 0 \\ 5^{x+1} \neq 5^0 \\ x+1 \neq 0\\ x \neq -1 \\ [/latex]