Question

solve the eponential equation:
5^x = 4^(x+1)

Answer 1

5^x=4^(x+1)
ln(5^x)=ln(4^x+1)
xln(5)=(x+1)ln(4)
x/(x+1)=ln(4)/ln(5)
or you can sove it as x/x+1)=0.8614 and without rounding and choping
x/(x+1)=0.861353116

Answer 2

As above then
So x=6.212567