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11-02-2022
Mathematics

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3^2y-1 = (9)(27)^y-2 calculate the value of y

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angle46089 angle46089

11-02-2022

Answer:

y = 3

Step-by-step explanation:

3^2y - 1 = (9)(27)^y - 2

3^2y-1 = 243^y - 2

log(243)/log(3) = 5

2y - 1 = 5(y - 2)

2y - 1 = 5y - 10

-5y -5y

-3y - 1 = -10

+ 1 +1

-3y = -9

-3 -3

y = 3

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