Question

Ayudaaaaaa plis doy coronita, estrellas y gracias no respondan si no saben
1/2log₅ (x-2) = 4log₅ 2-3/2log₅ (x-2)

Answer 1

Hola (｡•̀ᴗ-)✧

Respuesta:

x = 6

Explicación paso a paso:

1/2log₅ (x-2) = 4log₅ 2 - 3/2log₅ (x-2)

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(x-2)>0

x > 2

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2(1/2log₅ (x-2) )= 2(4log₅ 2 - 3/2log₅ (x-2) )

log₅ (x-2) = 8log₅ 2 - 3log₅ (x-2)

log₅ (x-2) = log₅ 2⁸ - log₅ (x-2)³

log₅ (x-2) = log₅ 2⁸/(x-2)³

 (x-2) =  2⁸/(x-2)³

 (x-2)(x-2)³ = 2⁸

  (x-2)⁴ = 2⁸

  x-2 = ⁴√2⁸

x-2 = 2²

x-2 = 4

x = 4+2

x = 6