abilamad576
abilamad576 abilamad576
  • 11-02-2022
  • Mathematics
contestada

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

Thank you
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Respuesta :

angle46089
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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