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    If 3ˣ × 9¹⁵ × 27⁶ = 81¹⁶, then the value of x is:
    Question

    If 3ˣ × 9¹⁵ × 27⁶ = 81¹⁶, then the value of x is:

    A.

    12

    B.

    13

    C.

    16

    D.

    15

    Correct option is C

    Given:

    If 3x × 915 × 276 = 8116

    Formula Used:

    am = an, m = n

    am × an = a(m + n)

    Solution:

    3x × 915 × 276 = 8116

    => 3x × (32)15 × (33)6 = (34)16

    => 3(x + 30 + 18) = 364

    => x + 30 + 18 = 64

    => x = 16

    ∴ The Value of x is 16.

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