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Math Help - solve this equation for x

  1. #1
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    solve this equation for x


    I don't understand what has happened to get from;
    3 ln 2 - 3 ln x - 1/2 ln x = -1 to ln x = 2/7 (3 ln 2+1)
    Can someone explain please?
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  2. #2
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    3 ln 2 - 3 ln x - 1/2 ln x = -1
    3 ln 2 + 1 = 3 ln x + 1/2 ln x ( Moving the terms )
    3 ln 2 + 1 = ln x^3 + ln x^1/2
    3 ln 2 + 1 = ln (x^3 * x^1/2)
    3 ln 2 + 1 = ln (x^3.5) ( Rule of indices Take note 3.5 = 7/2 )
    3 ln 2 + 1 = 7/2 ln x
    2/7 (3 ln 2+1) = ln x
    ln x = 2/7 (3 ln 2+1)

    Hope it helps. To understand logarithm better visit the site listed below :

    http://www.intmath.com/Exponential-l...rithm-laws.php

    Quote Originally Posted by AlexTweed View Post

    I don't understand what has happened to get from;
    3 ln 2 - 3 ln x - 1/2 ln x = -1 to ln x = 2/7 (3 ln 2+1)
    Can someone explain please?
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  3. #3
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    Thats brilliant, thanks!
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