Math, asked by ajitpurohit6, 9 months ago

9^x+2 =240+9^x find the value of x​

Answers

Answered by Anonymous
1

9^(x + 2) = 240 + 9^x

9^x.9² = 240 + 9^x

81.9^x = 240 + 9^x

9^x(81 - 1) = 240

9^x .80 = 240

9^x = 3

3^2x = 3¹

[ use, x^m = x^n then, m = n ]

2x = 1

x = 1/2

Answered by KrishnaKaranwal
1

Answer:

0.5

Step-by-step explanation:

9^(x + 2) = 240 + 9^x

9^x.9² = 240 + 9^x

81.9^x = 240 + 9^x

81.9^x-9^x=240

9^x(81 - 1) = 240

9^x .80 = 240

9^x = 3

3^2x = 3¹

[ use, x^m = x^n then, m = n ]

2x = 1

x = 1/2

  =0.5

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