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    Jhaynes1988's Avatar
    Jhaynes1988 Posts: 6, Reputation: 0
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    #1

    Oct 17, 2007, 07:44 PM
    Can't find the third zero on a log graph
    howdy,

    I've been working on this problem for the longest time and can't figure it out. I was given this problem: (log x )^3 = 9 log x and was told to find the zeros. The program I'm using is asking for 3 zeros and I can only find two. It tells me which zeros are the biggest and smallest. I have found the biggest and middle zero... so that leaves me with the smallest. And from the graph it doesn't look like the graph exits anymore. So my biggest zero was 1000 and my middle zero was one and they were both correct but I can't find the smallest one. Please help me if you can.

    Thanks
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Oct 18, 2007, 06:14 AM
    10^-3

    Got this by dividing both sides by log(x), getting (log x)^2 = 9, which means log x = +/- 3. You already have the log x = 3 answer, so the other one must be it. Hence log x = -3.

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