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Math Help - function

  1. #1
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    function

    If f(x+y) = f(x\cdot y) and x,y\geq 4 and f(8) = 9\;, Then f(9) =

    My Trial Solution:: Given f(x+y) = f(x\cdot y)

    Given f(8) = f(4+4) = f(4\cdot 4) = f(16)

    Now f(16) = f(8+8) = f(8\cdot 8) = f(64)

    Now How can I solve after that

    Help me

    Thanks
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  2. #2
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    Re: function

    Quote Originally Posted by jacks View Post
    If f(x+y) = f(x\cdot y) and x,y\geq 4 and f(8) = 9\;, Then f(9) =

    My Trial Solution:: Given f(x+y) = f(x\cdot y)

    Given f(8) = f(4+4) = f(4\cdot 4) = f(16)

    Now f(16) = f(8+8) = f(8\cdot 8) = f(64)

    Now How can I solve after that

    Help me

    Thanks
    weird little problem

    9 = f(8) = f(4+4) = f(16)

    f(9) = f(5+4) = f(20)

    f(20) = f(16+4) = f(64)

    f(64) = f(8*8) = f(8+8) = f(16)

    f(9)= f(20)= f(64) = f(16) = f(8) = 9
    Thanks from jacks
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