Question

Solve: 2^-2x = 32
I came up with:
2^-2x = 2^5
-2x = 5
But the correct answer seems to be -5/2.
Where did I go wrong?

Answer 1

oops, I came out with x=3 in the end

Answer 2

I think i got it. x = -5/2

Answer 3

32 is the same thing as 2^5. This means you can say that -2x=5 ans divide by -2 which gives you -5/2.(USE LAW OF EXPONENTS THAT SAYS IF THE BASE IS THE SAME THEN YOU CAN JUST WRITE THE EXPONENTS AS AN EQUATION)