1) The document discusses evaluating functions f(x) and g(x) for various values of x, where f(x) is the exponential function ex and g(x) is the natural logarithm function ln(x). 2) It provides definitions and properties of the exponential, natural logarithm, and logarithm functions, including how to expand and write logarithms with multiple terms in a single logarithm. 3) It gives examples of equations involving exponential and logarithm functions and instructions to omit problems 7 and 8 but complete the rest of the exercises.

1. Using calculator evaluate each function for the
following values of "n"
a) f(1) and g(1)
b) f(10) and g(10)
c) f(100) and g(100)
d) f(1000) and g(1000)
e) f(10000) and g(10000)

2. The natural exponential function
x
f(x) = e

3. The inverse of the exponential function
y = ex
is given by y = logex
But as a natural logarithm it is written as
y = ln x

4. The Exponential Function
x
f(x) = e
The Natural Logarithm
ln (x) = loge x
"el en of x"

6. Expand
ln x2 y3
z

7. Write as a single logarithm
ln(x ­ 1) + 3ln(x + 1) ­ 1 ln(x2 + 2)
2

8. x x+1
Solve for x: e = 2 ln e = 1

9. Exercise 26
Omit #7 and #8
But, do the rest!!