Question 35863
<pre><font size = 5><b>                            ln(1/x) = 2

On the left side, use this rule of logarithms:

  ln(A/B) = ln(A) - ln(B)

with A = 1 and B = x

                      ln(1) - ln(x) = 2

                          0 - ln(x) = 2 

                             -ln(x) = 2

Multiply or divide thru by -1

                              ln(x) = -2

Use this equation-exchange rule:  The equation

 ln(A) = B 

is equivalent to and may be replaced by the equation

    A = e<SUP>B</SUP>.

with A = 2 and B = -2 
 
So equation

                             ln(x) = -2 

becomes equation

                                 x = e<SUP>-2</SUP>,

or by calculator,                x = .1353352832

Edwin McCravy
AnlytcPhil@aol.com</pre>