I am trying to solve for x in the equation:

2(5)^x = 3^(x+1)

I know the answer should be x=0.79375 because I've graphed them as functions and found the intersect, as well as run the equation through wolfram.

However, I try to find this by solving for myself and I always seem to come up with x=0.51815.

I have:

2(5)^x = 3^(x+1)

xLog(25) = (x+1)Log3

xLog25 = xLog3 + Log3

xLog25 - xLog3 = Log3

x(Log25 - Log3) = Log3

x(Log25 - Log3)/(Log25 - Log3) = Log3/(Log25 - Log3)

x = Log3/(Log25 - Log3) which is 0.51815

I must be making a mistake somewhere but I just don't see it. Any help is appreciated, thanks!