passpadi

2012

Mathematics

67ca00ce0c643c71d77dee1f

If 27x+2 ÷ 9x+1 = 32x, find x.

A.

3

B.

4

C.

5

D.

6

Correct Answer: 4

Explanation

27x+2 ÷ 9x+1 = 32x, 33(x+2) ÷ 32(x+1) =32x 33x+6 ÷ 32x+2 = 32x ∴ (3x + 6) − (2x + 2) = 2x x + 4 = 2x ⟹ x = 4

27x+2 ÷ 9x+1 = 32x, 33(x+2) ÷ 32(x+1) =32x 33x+6 ÷ 32x+2 = 32x ∴ (3x + 6) − (2x + 2) = 2x x + 4 = 2x ⟹ x = 4
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