Question

solve the equation by expressing each side as a power of the same base and then equating exponents. 4^(3x+5)=1/256

Answer 1

well I think you need a base of 4...

\[\frac{1}{256} = 4^{-4}\]

so the equation can be written as

\[(4)^{3x + 5} = 4^{-4}\]

so now you just need to solve the powers for x

3x + 5 = -4

hope it helps

Answer 2

yes that will give the answer I am looking for so to convert 1/256 I would use a negative power