Question

    Find the value of ‘x’ in the given expression:

    (49/16)x× (64/343)x-1= 4/7

    A 4 Correct Answer Incorrect Answer
    B 3 Correct Answer Incorrect Answer
    C 2 Correct Answer Incorrect Answer
    D -2 Correct Answer Incorrect Answer

    Solution

    (49/16)^x× (64/343)^(x-1) = 4/7 ⇒(7/4)^2x× (4/7)^(3x-3) = 4/7 〖⇒(4/7)〗^(-2x)× (4/7)^(3x-3) = 4/7 ⇒ -2x+3x-3=1 ⇒ x = 4

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