ln(x)+3ln(2)+1=0

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- Mar 8th 2010, 08:29 PMtbenne3solve log equation for x
ln(x)+3ln(2)+1=0

- Mar 8th 2010, 09:07 PMBacterius
**HELLO**

First, isolate for the term in $\displaystyle x$ :

$\displaystyle \ln{(x)} + 3 \ln{(2)} + 1 = 0$

$\displaystyle \ln{(x)} = - 3 \ln{(2)} - 1$

Now exponentiate with base $\displaystyle e$ :

$\displaystyle x = e^{- 3 \ln{(2)} - 1}$

This is approximatively equal to :

$\displaystyle x \approx 0.046$

And can be written as a fraction as follows :

$\displaystyle x = \frac{1}{8e}$

**THANK YOU FOR YOUR QUESTION**