Question 1040055
5^2x=7^(x+1)  Notice the editing.
ln both sides
2x ln 5=(x+1)ln 7
2x/(x+1)=ln7/ln5
=1.209
2x=1.209x+1.209
0.791x=1.209
x=1.5285
check
5^(3.057)=137.02
7^(2.5285)=137.03 , rounding error.