HPC
Section 3.2 Notes [Day 1]
Name:
Nov. 2015
EXPONENTIAL FORM:
LOGARITHMIC FORM:
COMMON LOG:
NATURAL LOG:
Example 1:
Write in exponential form
1
1
2
a.
log 1000 = 3
b.
log 25 5 = −
c.
log 2 1 = 0
d.
log 9 1 = 0
e.
ln 4 = 1.3862
f.
ln 𝑒 3 = 3
g.
log 7 7 = 1
h.
log 6 6 −4 = −4
Example 2:
Write in logarithmic form
3
a.
9 2 = 27
b.
𝑒 4 = 54.5981
c.
40 =1
d.
𝑒0 =1
Example 3:
Evaluate WITHOUT A CALCULATOR
a.
log16
1
4
b.
log 10000
c.
log 8 32
d.
log16 8
e.
log11 11 2
f.
log 𝑏 1
g.
log12 12
h.
ln 𝑒 𝑥
b.
log 2 2−1 = 𝑥
Example 4:
a.
log 5 5 = log 5 (2𝑥 − 1)
Example 5:
a.
Solve for x
6 log6 36
Rewrite the expression. [Hint: Set the expression equal to a variable, and solve for the variable!]
b.
1
log 4 16
4