Logarithms and Exponents
Introduction
To deal with derivatives and integrals of logs and exponents, you must learn and obey the following rules. Practice is the best way to improve.
ln = the natural log is a log with base 
is saying that 
it is approximately 2.718281828
assuming 
ln of a negative number is impossible as you can’t raise e (or any positive number) to a number and get a negative or 0 resultant.
assuming
is the area under the curve 
Algebra Properties of logs:
and 
e and ln being inverses, note 
multiplication in logs becomes addition
exponents in logs becomes a coefficient
a negative exponent is a negative coefficient
division in logs becomes subtraction
e and ln are inverses
For example, find x if
