Question

    What value should come in place of the question-mark (?) in the following questions:

    (64/25)?  × (125/512)?-1 =  5/8

    A 3 Correct Answer Incorrect Answer
    B 8 Correct Answer Incorrect Answer
    C 4 Correct Answer Incorrect Answer
    D 12 Correct Answer Incorrect Answer
    E 2 Correct Answer Incorrect Answer

    Solution

    ? = x 〖(8/5)〗^2x  × 〖(5/8)〗^(3x-3)=  5/8  ⇒ 〖(5/8)〗^(-2x)  × 〖(5/8)〗^(3x-3)=  5/8  ⇒ (5/8)^(-2x+3x-3) =  5/8 ⇒ (5/8)^(x-3) =  5/8 ⇒x-3=1 ⇒x=4 

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