Question

Find the solution to the equation 64^(x – 4) = 4^2x. Use complete sentences to explain the method used to solve this equation.

Answer 1

4^3^(x-4) = 4^2x
4^3(x-4) = 4^2x
2x = 3(x-4)
2x = 3x - 12
-x = -12
x = 12

Answer 2

I think you're suppose to use log functions but I'm unsure how to work it out to get the right answer

Answer 3

Take the log of both sides.
(x-4)log(4) 64 = 2x log(4) 4
3(x-4) = 2x
Now, solve.
x = 12

Answer 4

okay thank you!

Answer 5

No Problem