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Math Help - Logarithims Help

  1. #1
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    Logarithims Help

    Have a few questions that have to deal with logarithims. I dont quite understand them all and need some help. The first question is

    1. Use what you know about polynomials to find the maximum value of the function. F(x)= 3+4x^2 - x^4 (Hint: set t=x^2)


    2. Graph the polynomial without using a calculator ( i.e. find the zeros then use test points.)
    P(x)= (1/8)(2x^4 +3x^3 - 16^2 - 24)^2


    5. Find the following;
    a. f(x) = ln(ln(ln x)
    b. f(x) = log base 2(log base 10(x))

    6. Use the change of base formula to show that
    a. Log base 10 = (1/ln 10)
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  2. #2
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    Quote Originally Posted by Eandrews View Post
    Have a few questions that have to deal with logarithims. I dont quite understand them all and need some help. The first question is

    1. Use what you know about polynomials to find the maximum value of the function. F(x)= 3+4x^2 - x^4 (Hint: set t=x^2)

    Mr F says: The maximum value of F(x) is the same as the maximum value of G(t) = 3 + 4t - t^2. Do you know how to find the maximum value of a parabola?


    [snip]

    5. Find the following;
    a. f(x) = ln(ln(ln x)
    b. f(x) = log base 2(log base 10(x))

    Mr F says: What are you meant to find ....?

    6. Use the change of base formula to show that
    a. Log base 10 = (1/ln 10) Mr F says: Log base 10 of what ....? Either the argument of the log is missing or the base is missing ....
    This is all I have time for right now.
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  3. #3
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    it doesnt say what to solve for in problem 5 my mistake for 6 its
    log e=(1/ln10)
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  4. #4
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    Quote Originally Posted by Eandrews View Post
    it doesnt say what to solve for in problem 5 my mistake for 6 its
    log e=(1/ln10)
    This still makes no sense.

    You mean \log_{10} e, right? (Which you could have written as log(base e) (10), for example).

    Then note:

    x = \log_{10} e \Rightarrow 10^x = e \Rightarrow \ln 10^x = 1 \Rightarrow x \ln 10 = 1 \Rightarrow x = \frac{1}{\ln 10}.

    In other words, \log_{10} e = \frac{1}{\ln 10}.
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  5. #5
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    Quote Originally Posted by Eandrews View Post
    it doesnt say what to solve for in problem 5 [snip]
    Then you need to get clarification from your instructor.
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