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

asked Apr 18, 2021 219k views

5 votes

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3 votes

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

Darclander answered Apr 24, 2021

6.6k points

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