Algebra with exponents?

8^(2-X) = 4^(3X)

Please show me the steps, I haven't done this kind of math in awhile.

Guillermo2011-03-05T15:02:03Z

Favorite Answer

(2^3)^(2 - x) = (2^2)^3*x

2^(6 - 3*x) = 2^6*x

6 - 3*x = 6*x

9*x = 6

x = 2/3

peabody2011-03-05T23:02:41Z

8^(2-X) = 4^(3X)


(2^3)^(2-X) = (2^2)^(3X)

2^(6-3X] = 2^6X

6 - 3X = 6X //// equate powers

6 = 9X

X = 6/9 = 2/3