What is a solution for the equation 2-3^-x=-1

x = - ln 5 / ln 3

Explanation:

2-3^-x=-1

-3^-x=-5 (Subtract two from each side)

3^-x=5 (Divide by - 1)

-x (ln 3) = ln 5 (Take the natural log of each side, - x comes down to the front)

-x=ln 5 / ln 3

x = - (ln 5 / ln 3) - -> x = - ln 5 / ln3