Question

I need help with this...

Answer 1

   ln 5
e              =    ?
                                    x
Keep in mind that y=e     and y = ln x are inverse functions of one another.
  ln 5
e       ,  we can drop both the "e" and the "ln 5."  We are left with 5 (answer).
                                                                                        ln 5
Alternatively, we could take the ln of both sides of y = e

which will result in ln y = (ln 5) ln e.  Note that ln e = 1 (these two functions are inverses of one another).

Then we are left with ln y = ln 5.  Dropping the "ln" operator from both sides,

y=5 (same as before).