Question

Find x , if 9x3* = 3^2x-3

Answer 1

Answer:

9 × 3x = (27)2x – 3

32 × 3x = (3 × 3 × 3)2x -3

⇒ 3x + 2 = (3)3(2x -3)

⇒ 3x+2 = (3)6x -9

Since, base are same, compare them,

X + 2 = 6x – 9

6x – x = 9 + 2

⇒ 5x =11

⇒ x = 11/2

⇒ x = 2. 1/5

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