Question

9 to the power of -2x = 7 to the power of -x+6

Answer 1

9^-2x = 7^-x+6

Answer 2

Like...

\(\large 9^{-2x} = 7^{-x + 6} \)
?

Answer 3

In that case, we could just use logarithms to knock off the exponents, and then isolate the x-terms and solve for x.

\( A^b; ~~~~log(A^b) = b\times log(A) \)