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Math Help - Logrithm Problem

  1. #1
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    Logrithm Problem

    Hey guys,

    I've solved these question, but about three times each with a different answer each time :S so if someone could kindly work these out I'd be very happy. Here they are:

    Solve each of the equations given below.

    a) 4^(x + 3) = 6 ^(x - 2)


    b) log base 5 X/125 = log base 7 (49x^3)
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  2. #2
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    Quote Originally Posted by cndman View Post
    Hey guys,

    I've solved these question, but about three times each with a different answer each time :S so if someone could kindly work these out I'd be very happy. Here they are:

    Solve each of the equations given below.

    a) 4^(x + 3) = 6 ^(x - 2)


    b) log base 5 X/125 = log base 7 (49x^3)
    a) (x+3)\,ln(4) = (x-2)\,ln(6). Expand and solve for x
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  3. #3
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    Quote Originally Posted by cndman View Post
    Hey guys,

    I've solved these question, but about three times each with a different answer each time :S so if someone could kindly work these out I'd be very happy. Here they are:

    Solve each of the equations given below.

    a) 4^(x + 3) = 6 ^(x - 2)

    (x+3)ln(4)=(x-2)ln(6)

    xln(4)+3ln(4)=xln(6)-2ln(6)

    xln(4)-xln(6)=-3ln(4)-2ln(6)

    x=\frac{-3ln(4)-l2n(6)}{ln(4)-ln(6)}

    b) log base 5 X/125 = log base 7 (49x^3)

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