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Math Help - Help on how to do some problems

  1. #1
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    Help on how to do some problems

    These problems are from the NYS math b regents our teacher assigned for us to do. Please help on these thanks!

    T=2(pi)(squareroot)l/g where g is 32.( sorry for not knowing how to make pis and square roots). How is this equation expressed in log form?

    1. logT= log2 + logpi + log(sqroot) l-32
    2. logT= log 2 + logpi + 1/2logl-1/2log32
    3. logT= log 2 + log pi + 1/2log l - 16
    4. log T= 2 + log pi + 1/2log l - 16

    Which equation has the complex number 4-3i as a root
    1. x^2 +6x-25= 0
    2. x^2-6x+25=0
    3. x^2 + 8x - 25=0
    4. x^2-8x+ 25= 0

    If log(base 2)a= log(base 3) a, what is the value of a?

    1. 1
    2. 2
    3. 3
    4. 4
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  2. #2
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    Quote Originally Posted by Nysmathb View Post
    ( sorry for not knowing how to make pis and square roots).
    To learn how to format math as text, try here.

    Quote Originally Posted by Nysmathb View Post
    T=2(pi)(squareroot)l/g where g is 32. How is this equation expressed in log form?
    If I understand you correctly, you have been given the following exponential equation:

    . . . . . T\, =\, \frac{2\pi \sqrt{l}}{32}

    I'm guessing they just want you to take the log of each side of the above equation...? At that point, you'll need to apply some log rules to split apart the log form into individual log terms. Then see which answer option matches what you'd started with.

    Quote Originally Posted by Nysmathb View Post
    Which equation has the complex number 4-3i as a root
    1. x^2 +6x-25= 0
    2. x^2-6x+25=0
    3. x^2 + 8x - 25=0
    4. x^2-8x+ 25= 0
    One method would be to apply the Quadratic Formula to each of the equations (or at least check the value of the Formula's disciminant for each equation), and see which one gives you the required result.

    Quote Originally Posted by Nysmathb View Post
    If log(base 2)a= log(base 3) a, what is the value of a?
    Use what you know about logarithms to recall which argument gives the same log value, regardless of the base. For instance, compare the graphs of the common (base-ten) log and the natural (base-e) log, and see where the two lines cross....

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  3. #3
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    thank you sir!
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