Question

Find the exact solution to the equation. Show your work for credit. 4^(12-4x)=256

Answer 1

hint : 256 = 4^4

Answer 2

hint2 : when bases are equal, you can set the exponents equal

Answer 3

What i dont understand is how to solve since it is an exponent

Answer 4

Well, you could use Logs to solve this, but I think you are safe to just ask yourself the question, "How many times would I need to multiply four by itself to get 256?"

Then go from there.

Answer 5

ohhh.....so 12-4x=4
so....x=2??

Answer 6

Looks right to me

Answer 7

wait....how would i do that using log?....sorry just trying to understand completely