Question

Find the solution of the exponential equation, correct to four decimal places.
5^x=4^(x+2)

Answer 1

I know that the log of both sides should be taken and then move the exponent to the front of the log but that's as far as i got.

Answer 2

That's good start :)
Yes, take log base 4 for both sides:
x log4 of 5 = x + 2

Answer 3

im not quite sure what to do from there?

Answer 4

x log4 of 5 - x= 2

Answer 5

-> x = ...

Answer 6

i wanna scream.. i keep seeing the x's cancel out!!