Solve the equation:

5^x-3=7^2x+1

log₅5^x-3=log₅7^2x+1

x-3=(2x+1)log₅7

x-2xlog₅7=3+log₅7

x(1-2log₅7)=3+log₅7

x=(3+log₅7)/(1-2log₅7)