Q. 6

# If 9^{x}^{+2} = 240 + 9^{x}, then *x* =

A. 0.5

B. 0.2

C. 0.4

D. 0.1

^{x}

^{x}

Answer :

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

9x × 9^{2} = 240 + 9^{x}

Let 9^{x} = y

81y = 240 + y

80y = 240

y =

9^{x} = 3

3^{2x} = 3

2x = 1

x = = 0.5

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