Question

Find the exact solution to the equation. Show your work.
\(4^{12-4x}=256\)

Answer 1

@AccessDenied

Answer 2

hint : 256 = 4^4

Answer 3

so 12-4x must equal 4 right?

Answer 4

Yup!

Answer 5

when bases are equal, you can equate the exponents

Answer 6

subtract 12
4x=-8?

Answer 7

divide by 4
x=-2?

Answer 8

subtract 12
-4x = -8

Answer 9

divide by 4
-x = -2

Answer 10

multiply -1
x = 2

Answer 11

thank you so much!