Question

I don't know how to solve this. It's Algebra 2, Solving Exponential Equations​

Answer 1

Answer: I hope you can read the attached photo of the process.

Explanation:

This is a very strange equation. Whoever invented it wants you to apply some previous knowledge and come up a creative solution.

You know that 3 square is 9, the reciprocal of that is 1/9. Negative exponents result in reciprocals.

If you know that
`3^(-2) = (1)/(9)` you can set up an equation using just the exponent given
`x^(2) +3x = -2`

You can make a quadratic equation
`x^(2) +3x +2 =0` and solve that.

You get 2 possible values for x.

Enjoy!