ABSTRACT
If an exponent is irrational, e.g., 2 , the quantity, such as a 2 , is the limit of the sequence a1.4, a1.41, a1.414, ….
• Operations with Zero
0 0 10m a= =;
If x, y, and b are positive and b ≠ 1,
log log log log / log log
log log log
xy x y x y x y
x p x
( ) ( )
= +
= −
=
( )
.log
1 1
1 0
/ log log
log :
x x b
Note b x
= −
=
= =
• Change of Base (a ≠ 1)
log log logb a bx x a=
The factorial of a positive integer n is the product of all the positive integers less than or equal to the integer n and is denoted n! Thus,
n n! .= ⋅ ⋅ ⋅…⋅1 2 3
Factorial 0 is defined 0! = 1.
