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Math Help - exponents

  1. #1
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    exponents

    (1)If a^{2x-1}=b^{1-3y} and a^{3x-1}=b^{2y-2}, prove that 13xy-7x-5y+3=0


    Thanks for any help .
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  2. #2
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    Dear mathaddict,

    If a^{2x-1}=b^{1-3y}
    than
    (2x-1)ln(a)=(1-3y)ln(b)
    so
    ln(a)/ln(b) = (1-3y)/(2x-1)

    Express the ln(a)/ln(b) from the other equation also and compare the two expression.
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  3. #3
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    Re :

    Thanks Skalkaz , but is there any other way besides that .
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  4. #4
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    Re:

    Quote Originally Posted by mathaddict View Post
    (1)If a^{2x-1}=b^{1-3y} and a^{3x-1}=b^{2y-2}, prove that 13xy-7x-5y+3=0
    Can this question be solved by just using laws of exponents and logarithms ?
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