Question

Solve the equation `3^(2x) -9(3^(2x))=8`?

Answer 1

No solution.

Explanation:

We have:

`3^(2x) - 3^2(3^(2x)) = 8`

`3^(2x)(1 - 9) = 8`

`3^(2x) = 8/(-8)`

`3^(2x) = -1`

At this point it becomes clear the equation has no solution, because no value of `x` will make the entire expression negative.

Hopefully this helps!