Question 77097
<pre><font size = 3><b>
Find the solution of the exponential equation, correct to four 
decimal places.

{{{e^(-4x)=6}}}

Learn the principle that {{{e^A=B}}} can be rewritten as {{{A=ln(B)}}}

Then rewrite {{{e^(-4x)=6}}} as {{{-4x=ln(6)}}}

Then get the calculator and find {{{ln(6)=1.791759469}}}

Then {{{-4x=ln(6)}}} becomes

     {{{-4x=1.791759469}}}

Divide both sides by -4

     {{{-4x/(-4)=1.791759469/(-4)}}}

      {{{x = -.4479398673}}}

Rounded off correct to four decimal places:

      {{{x = -.4479}}}

Edwin</pre>