4^-x=(1/256)
I think the answer or I guess the answer I have is:
4^-x=16^-2
4^-x = 1/4^x = 1/256 = 1/4^4
Therefore 4^x = 4^4 and x = 4
To solve the equation 4^-x = 1/256, let's start by rewriting 1/256 as a power of 4. We can express 1/256 as 4^-4 since 4^-4 = 1/(4^4) = 1/256.
Now, we can rewrite the equation as 4^-x = 4^-4.
To solve for x, we can set the exponents on both sides of the equation equal to each other.
So we have -x = -4.
To isolate x, we can multiply both sides of the equation by -1 to get x = 4.
Therefore, the solution to the equation 4^-x = 1/256 is x = 4.