How is (dx/dt)/(x(t) equivalent to (d/dt)ln|x(t)| ?

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- January 22nd 2009, 02:28 AMlord12Don't understand this differential equation
How is (dx/dt)/(x(t) equivalent to (d/dt)ln|x(t)| ?

- January 22nd 2009, 03:22 AMmarekwhy not.
Deriving {ln[x(t)]}' you have 1/x(t) as external derivative (of logarithm) times internal derivative [x(t)]' (so dx/dt).