
à EXPONENTS: The exponential function f with base a is denoted by f(x) = ax,
where a>0, a ≠ 1, and x is any real number.
Exponential Form: x = ay
à e ~ 2.71828
à THE NATURAL BASE e
For many applications, the convenient choice for a base is the irrational number
e ~ 271828, the natural base
The function f(x)=ex is the natural exponential function
Exponential equation: ex= 72
lnex= ln72
x= ln72
x~ 4.277
The equations y= logax and x=ay are equivalent
à EVALUATING EXPONENTIAL FUNCTIONS
1. x= log47 2. log232=5 3. log107=.845
4x = 7 25=32 10.845=30