laniebug129763p3tjpv laniebug129763p3tjpv
  • 06-09-2019
  • Mathematics
contestada

What is the values of x if g^x-1 -2=25

What is the values of x if gx1 225 class=

Respuesta :

harpazo
harpazo harpazo
  • 06-09-2019

9^(x - 1) - 2 = 25

9^(x - 1) = 27

ln[9^(x - 1)] = ln 27

ln9(x - 1) = ln 27

xln9 - ln9 = ln 27

xln9 = [ln 27 + ln 9]

x = [ln 27 + ln 9]/ln 9

x = 5/2

Answer Link
ghanami
ghanami ghanami
  • 06-09-2019

Answer:

Step-by-step explanation:

here is a simpler solution :

27=3^3   and 9=3^2

9^(x-1) =27

(3^2)^(x-1) = 3^3

3^(2x-2) = 3^3

2x-2 =3

2x =5

so: x=5/2

Answer Link

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