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12 November, 21:20

Solve 2^16x=16^2x for x

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  1. 12 November, 22:04
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    2^ (16x) = 16^ (2x)

    16=2⁴

    2^ (16x) = (2⁴) ^ (2x)

    2^ (16x) = 2^ (4*2x)

    2^ (16x) = 2^ (8x)

    Therefore:

    if a^n=a^m ⇒n=m

    16x=8x

    16x-8x=0

    8x=0

    x=0/8=0

    Answer: x=0
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