Question #b9291

1 Answer
Jan 17, 2018

#x = -2#

Explanation:

Solving this is reasonably easy when you observe #1/e^2# is equivalent to #e^-2# using exponent laws or more specifically the idea of #1/x^c = x^-c#.

Then, one should understand the relation of #ln# to #e#. In layman's terms, you can think of #ln# and #e# "cancelling" each other. One should also understand that you can bring down exponents in a natural log or any log to the "base".

In math, you can say:

#ln(e^-2) = -2ln(e)#, and that #ln(e) = 1#. Therefore, from this, we can say that #-2 = x#.