Help is a very simple excersise and i do not get it :(?

Question

the problem is as simple as 4elevated to "x" equals 5 elevated to "x+1". Solve the equation exactly. I looks like this: (notice that x+1 is a exponent from 5. not 5 elvated to x and then +1). Also where *=x
4*=5(*+1) ===} (*+1) is an exponent. PLEASE HELP

Answer 1

4^x=5^(x+1)

take ln of both sides

ln 4^x=ln 5^(x+1)
x ln4= (x+1)ln5
x(ln4-ln5)=ln5

x=ln5/(ln0.8)

Answer 2

4^x = 25 ^x

x=0.