http://mail.google.com/mail/?attid=0...f1311a7df59177

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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- Jan 26th 2009, 04:19 AMAlexTweedsolve this equation for x
http://mail.google.com/mail/?attid=0...f1311a7df59177

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? - Jan 26th 2009, 04:34 AMtester85
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

- Jan 26th 2009, 04:50 AMAlexTweed
Thats brilliant, thanks!