Recent content by M4th

  1. M

    Proving Inequality for a;b;c and m;n

    Of course, now it's all starting to come together. Thanks again for your help.
  2. M

    Proving Inequality for a;b;c and m;n

    explain how you can transform logb^mc^na = 1/logabmcn into the statement below
  3. M

    Proving Inequality for a;b;c and m;n

    Yes my point exactly. My goal is to be able to arrive at, and transform equations with ease into more workable ones as you have above and really have a good grasp at how to do so with any other similar problems. Now one problem in my understanding is I grasp how logba=logaa/logab and thus I see...
  4. M

    Proving Inequality for a;b;c and m;n

    This is a great forum, I already have learned a bit more about logarithms just watching how you've broken this problem up into its subsequent pieces. I thank you for such rapid responses and hospitality. I am looking forward to learning more about mathematics from you all and would greatly...
  5. M

    Proving Inequality for a;b;c and m;n

    I am in a pre-calculus course but my teacher chose me to be part of a separate "group" of students who solves problems outside of the classroom. I would just like to be able to simply understand what is going on in some of these problems.
  6. M

    Proving Inequality for a;b;c and m;n

    Well, that certainly clears a lot up for me, but I would very much appreciate some examples of where to go from there. (As you can tell, I'm clearly not versed well enough in mathematics to attempt such a problem). Thank you for any more input and helping me get a better grasp on mathematics.
  7. M

    Proving Inequality for a;b;c and m;n

    To your first post yes and thank you. Also, Let a; b; c \in (1,∞) and m; n \in (0,∞).
  8. M

    Proving Inequality for a;b;c and m;n

    Homework Statement Let a; b; c \in (1,∞) and m; n \in (0,∞). Prove that \log_{b^mc^n} a + \log_{c^ma^n} b +\log_{a^mb^n} c \ge \frac 3 {m + n} Homework Equations The Attempt at a Solution I do not even know where to start. A coherent explanation and possible solutions would...
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