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If 9^x+2 = 240 + 9^x, then x =

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asked Apr 17, 2021 in Exponents by Amishi (28.9k points)
closed Apr 23, 2021 by Amishi

If 9^x+2 = 240 + 9^x, then x =

A. 0.5

B. 0.2

C. 0.4

D. 0.1

exponents
class-9

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1 Answer

+1 vote

answered Apr 17, 2021 by Saadah (30.2k points)
selected Apr 23, 2021 by Amishi

Best answer

9 ^{x + 2} = 240 + 9^x

9x × 9² = 240 + 9^x

Let 9^x = y

81y = 240 + y

80y = 240

y = \(\frac{240}{80}\)

9^x = 3

3^2x = 3

2x = 1

x = \(\frac{1}{2}\)

= 0.5

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