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16-07-2020
Mathematics

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

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fronzxx2020 fronzxx2020

16-07-2020

Answer:

k=2

Step-by-step 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

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