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Math Help - exponential equation

  1. #1
    Member CalcGeek31's Avatar
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    exponential equation

    I need help solving 4^(3y-2) = 2^(2y+3) with out a calculator

    can anyone help me get started?

    Remember no calculator...
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  2. #2
    Moo
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    Hello,
    Quote Originally Posted by CalcGeek31 View Post
    I need help solving 4^{3y-2} = 2^{2y+3} with out a calculator

    can anyone help me get started?

    Remember no calculator...
    Note that 4=2^2 and recall this property : (a^b)^c=a^{bc}

    So 4^{3y-2}=(2^2)^{3y-2}=2^{6y-4}

    So now you have 2^{6y-4}=2^{2y+3}

    Can you finish it ?
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