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  1. If 2log4x = 1 + log4 (x-1), find the value of x. ?
    1. 2
    2. 1
    3. 4
    4. 3
Correct Option: A

∵ 2log4x = 1 + log4(x-1)
⇒ log4x2 = log44 + log4(x-1)
⇒ x2 = 4(x-1)
⇒ x2 - 4x + 4 = 0
⇒ (x-2)2 = 0
∴ x = 2


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