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Math Help - No matter i did it, can't express both side as a power with base 2

  1. #1
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    Unhappy No matter i did it, can't express both side as a power with base 2

    Here is the equation: cubic root(2562) * 16x=64x-3

    I need to express both sides as a power with base 2, but no matter how i solve it, it never can make base 2.

    HELP!!
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  2. #2
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    Re: No matter i did it, can't express both side as a power with base 2

    Hey JarvisStu001.

    Hint: Recall that 16 = 2^4 and 64 = 2^6 with the fact (a^xy) = (a^x)^y.
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  3. #3
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    Re: No matter i did it, can't express both side as a power with base 2

    Quote Originally Posted by JarvisStu001 View Post
    Here is the equation: cubic root(2562) * 16x=64x-3

    You need to awake up to basic powers.

    256=2^8 thus 256^2=2^{16}.

    16^x=2^{4x}~\&~64^{x-3}=2^{6x-18}.
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    Re: No matter i did it, can't express both side as a power with base 2

    Got it, Thanks alot!
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