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11-05-2020
Mathematics

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Solve 3^2y−2=81^2y+1

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11-05-2020

Answer:

y = -1

Step-by-step explanation:

Solve 3^2y−2=81^2y+1

3^(2y - 2) = 81^(2y + 1)

3^(2y - 2) = (3^4)^(2y + 1)

3^(2y - 2) = 3^(4*(2y + 1))

3^(2y - 2) = 3^(8y + 4)

2y - 2 = 8y + 4

2y - 2 - 4 = 8y

-6 = 6y

y = -1

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