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Math Help - Another Log related question (this one is bad)

  1. #1
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    Another Log related question (this one is bad)

    Hello again

    well i tried working on my spring break packet again and came across this little gem. which i honestly cannot get my head around.

    f(x)=logBASEn[(mn)^x-logBASEm^(n)] , m,n>0

    a)find the x and y intercepts.

    b)Show the graph of f(x) is equivalent to the line passing through the points you found in part (a).

    c)Provide an example sketch from the graphing calculator
    I cannot figure out what to input.

    d)What happens to the graph when mn=1?

    Once again thank you very much and any help is appreciated

    -Gus
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  2. #2
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    Quote Originally Posted by Danktoker View Post
    Hello again

    well i tried working on my spring break packet again and came across this little gem. which i honestly cannot get my head around.

    f(x)=logBASEn[(mn)^x-logBASEm^(n)] , m,n>0

    a)find the x and y intercepts.

    b)Show the graph of f(x) is equivalent to the line passing through the points you found in part (a).

    c)Provide an example sketch from the graphing calculator
    I cannot figure out what to input.

    d)What happens to the graph when mn=1?

    Once again thank you very much and any help is appreciated

    -Gus
    syntax for this part of the function is unclear ...
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  3. #3
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    That means Log base m to the nth power

    Hope that is clear.

    THank you
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  4. #4
    Member integral's Avatar
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    How can you have a power on a base without a coefficent? Or do you mean
    Log_mn
    If so then
    f(x)=log_n(mn)^x-log_mn

    A. x & y intercept.

    f(x)=\frac{log_n(mn)^x}{log_mn}

    f(x)=\frac{xlog_n(n)+xlog(m)}{log_m+log(n)},

    I do not believe you can find the x & y intercept... Just a thought, with just variables and all...
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  5. #5
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    indeed this is why i am confused but that is what the problem says.

    so what do you suggest i do?
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  6. #6
    Member integral's Avatar
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    I would skip it
    But maybe someone else has a better idea.
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  7. #7
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    gaaah i cant stand this professor any more...

    all my friends got other professors and their nothing like this guy.

    he custom makes our problems to be insane.
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