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barxatty [35]
3 years ago
15

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

Mathematics
1 answer:
wariber [46]3 years ago
6 0

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

            <u>    - 2   - 2</u>

             k = 2

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The equation is solved by the graphed systems of equations is 7x + 3 = x − 3.

The correct option is C.

Given

Two linear equations that intersect at the point (-1, -4) =(x, y) →x=-1, y=-4.

<h3>What is a system of equations?</h3>

Systems of equations are sets of equations where the solution is the intersecting point (s) between the equations.

The  equation is solved by the graphed systems of equations is;

7x + 3 = x − 3

Solving for x: Grouping the x's on the left side of the equation:

Subtracting x both sides of the equation:

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Dividing both sides of the equation by 6:

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Dividing:

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Hence, the equation is solved by the graphed systems of equations is 7x + 3 = x − 3.

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brainly.com/question/12895249

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