+0  
 
0
627
2
avatar

how do you get ln from ln(x) on the other side of the equation when you want to solve for x

ex.) ln[A]= -7.5975 but you want to solve for [A]

 Nov 4, 2014

Best Answer 

 #2
avatar
+5

In order to get the variable a by itself, you'll need to take the base of natural log (e) of both sides of the equation.

ln(a) = -7.5975

e^(ln(a)) = e^(-7.5975)

a = e^(-7.5975)

a = 0.0005

Or, in a more sophisticated-looking format:

$${ln}{\left({\mathtt{a}}\right)} = -{\mathtt{7.597\: \!5}} \Rightarrow {\mathtt{a}} = {{\mathtt{e}}}^{{\mathtt{\,-\,}}\left({\frac{{\mathtt{3\,039}}}{{\mathtt{400}}}}\right)} \Rightarrow {\mathtt{a}} = {\mathtt{0.000\: \!501\: \!704\: \!127\: \!239}}$$

 Nov 4, 2014
 #1
avatar
0

be more specfic

 Nov 4, 2014
 #2
avatar
+5
Best Answer

In order to get the variable a by itself, you'll need to take the base of natural log (e) of both sides of the equation.

ln(a) = -7.5975

e^(ln(a)) = e^(-7.5975)

a = e^(-7.5975)

a = 0.0005

Or, in a more sophisticated-looking format:

$${ln}{\left({\mathtt{a}}\right)} = -{\mathtt{7.597\: \!5}} \Rightarrow {\mathtt{a}} = {{\mathtt{e}}}^{{\mathtt{\,-\,}}\left({\frac{{\mathtt{3\,039}}}{{\mathtt{400}}}}\right)} \Rightarrow {\mathtt{a}} = {\mathtt{0.000\: \!501\: \!704\: \!127\: \!239}}$$

Guest Nov 4, 2014

0 Online Users