If 9x-12 - 22x - 2 = 4x - 32x - 3, then x is
Explanation:
9x-12 - 22x - 2 = 4x - 32x - 3 ...(1)
Now, 9x-12 = (32)x-12 = 32x - 1
Also 4x = (22)x = 22x
From (1), we get
32x - 1 - 22x - 2 = 22x - 32x - 3
32x - 1 + 32x - 3 = 22x + 22x - 2
32x - 3 (32 + 1) = 22x - 2 (22 + 1)
32x-322x-2=510 or 12
Now this can be written as
32x-322x-2=3021
Now since the bases of the numerator and the dominator are equal on LHS and RHS, the powers should also be equal
⇒ 32x-3 = 30 and 22x - 2 = 21
In both cases x = 3/2
∴ x = 32
Hence, option (a).
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