How to solve the exponential equation for 3^k2 • 3^-k+2 = 81

Question

asked Apr 18, 2021 219k views

1 Answer

Darclander · Answer 1 · 2021-04-23T22:41:31+0000

Answer:

k=2

Explanation:

3^k*2 * 3^-k+2 = 81

Factor out 81 to be : 3^4

Rewrite the equation:

k*2 - k+2 = 4

k^2 - 2k = 4

Simplify : k+2 = 4

- 2 - 2

k = 2