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Math Help - Simple Algebra Question

  1. #1
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    Simple Algebra Question

    Hi Everyone,

    I was hoping for some help on the following problem

    44000 * (1.03)^x = 50000 * (1.02)^x

    What does X equal?

    Thanks in advance,
    Chris
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  2. #2
    Behold, the power of SARDINES!
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    Re: Simple Algebra Question

    Quote Originally Posted by dubs1013 View Post
    Hi Everyone,

    I was hoping for some help on the following problem

    44000 * (1.03)^x = 50000 * (1.02)^x

    What does X equal?

    Thanks in advance,
    Chris
    You can simplify the equation to

    \left( \frac{1.03}{1.02} \right)^x=\frac{25}{22}

    You can use a logarithm to finish solving from here.
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  3. #3
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    Re: Simple Algebra Question

    If you could walk me through the logarihm that would be great. Thank you very much
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  4. #4
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    Re: Simple Algebra Question

    a^x = b

    \log(a^x) = \log(b)

    x \log(a) = \log(b)

    x = \frac{\log(b)}{\log(a)}
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