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UNIT 5
: EXPONENTIAL & LOGARITHMIC FUNCTIONS
LESSON 5: THE
LOGARITHMIC FUNCTION HOMEWORK QUESTIONS
Logarithmic Notation:
The exponential statement 23 = 8 may be rewritten in what is called logarithmic form
as follows:
log28 = 3 which
reads: the logarithm of 8, base 2,
equals 3.
Any exponential statement may be rewritten in
this form.
Definition: the expression logax is defined to mean “ the exponent to which base a must
be raised to give x.
The expression reads:
“ the logarithm of x, base a.”
Homework Questions
Solutions:
|
Interval |
|
|
|
|
Test Number |
- 4 |
- 1 |
4 |
|
Sign
of (x – 3 ) |
( - ) |
( - ) |
( + ) |
|
Sign
of (x + 3) |
( - ) |
( + ) |
( + ) |
|
Sign
of (x – 3 )(x + 3) |
( + ) |
( - ) |
( + ) |
|
Interval |
|
|
|
|
Test Number |
- 3 |
- 1 |
5 |
|
Sign
of (x + 2) |
( - ) |
( + ) |
( + ) |
|
Sign
of (x – 3) |
( - ) |
( - ) |
( + ) |
|
Sign
of (x + 2)(x – 3) |
( + ) |
( - ) |
( + ) |
|
Interval |
|
|
|
|
Test Number |
- 5 |
0 |
3 |
|
Sign
of (2x – 5 ) |
( - ) |
( - ) |
( + ) |
|
Sign
of (x + 4) |
( - ) |
( + ) |
( + ) |
|
Sign
of (2x – 5)/(x + 4) |
( + ) |
( - ) |
( + ) |
