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Math Help - Logarithms help

  1. #1
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    Logarithms help

    If $2000 is invested at a rate of 12 percent per year, what is the principle after 5 years if the interest is compound quarterly? What is the principle afetr 5 years if the interest is compound quarterly?

    Thanks to anyone who can solve.
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  2. #2
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    Is it 2000\cdot 1.03^{20}=3612.22? (There are 5*4=20 "compounds" with 12/4=3 \%.)
    I'm not sure as there are no logarithms in it...
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  3. #3
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    Doesnt the compund interest formula contain logarithms?
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  4. #4
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    Quote Originally Posted by av8or91 View Post
    Doesnt the compund interest formula contain logarithms?
    The formula is A = P(1 + \frac{r}{t})^{nt} where r is the annual rate, t is the number of periods per year, n is the number of years, and P is the principal. So there are no logarithms in the formula.
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  5. #5
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    Alright thanks for the reply.

    I have one logarithm problem I cant figure out

    Log2x^3= Log2(6-x)
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  6. #6
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    Quote Originally Posted by av8or91 View Post
    Alright thanks for the reply.

    I have one logarithm problem I cant figure out

    Log2x^3= Log2(6-x)
    New questions go in new threads.

    log_2(x^3) = log_2(6 - x)

    x^3 = 6 - x

    x^3 + x - 6 = 0

    There are no "nice" solutions to this equation, so it isn't surprising that you haven't been able to solve it. Numerically I get x = 1.634365293.

    -Dan
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