SOLUTION: Could you please provide me a detailed explanation of how to solve the following problem ln (1 / {{{ 4 ^ sqrt (e^3) }}}

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Could you please provide me a detailed explanation of how to solve the following problem ln (1 / {{{ 4 ^ sqrt (e^3) }}}      Log On


   

Question 193527: Could you please provide me a detailed explanation of how to solve the following problem

ln (1 / +4+%5E+sqrt+%28e%5E3%29+
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Is the problem supposed to read ???? If so, then...


... Start with the given expression



... Expand the logarithm using the identity ln%28x%2Fy%29=ln%28x%29-ln%28y%29


... Convert to exponential notation.


... Pull down the exponent using the identity ln%28x%5Ey%29=y%2Aln%28x%29


Evaluate the natural log of "1" to get 0. This will simply go away.


Evaluate the natural log of "e" to get 1


... Multiply


So