TYPE:
PROBLEM SET #6
TYPE:
PROBLEM SET #5
TYPE:
PROBLEM SET #4
TYPE:
PROBLEM SET #3
TYPE:
PROBLEM SET #2
TYPE:
PROBLEM SET #1
PRACTICE
Factor each expression.
A
B
C
D
E
F
A
B
C
D
E
F
A
B
C
D
E
F
A
B
C
D
E
F
A
B
C
D
E
F
A
B
C
D
E
F
REVIEW
Expand the following logs. Use as many properties (power/product/quotient) as you can.
(8) log(3𝑥𝑦𝑧 )
(7) log
(9) log(144)
_________________
_________________
_________________
REVIEW
(10) Which expression is
equivalent to 5 log 𝑥 − (2 log 𝑦 + log 𝑧) ?
a) log
b) log
c) log
d) log
REVIEW
If log 5 ≈ 0.699 and log 15 ≈ 1.176, then use the product/quotient/power properties to
approximate the value of each expression without a calculator.
(11) log 3
(12) log 25
_________
(13) log 75
_________
(14) log 375
_________
(15) log
_________
_________
REVIEW
(16) If log 2 ≈ 0.301
and log 3 ≈ 0.477, what is the
approximate value of log 72 ?
a) 0.051
REVIEW
(17) Which expression
is equivalent to log 14 ?
REVIEW
a) (log 2)(log 7)
_______
(19) log
7
b) log 12 + log 2
(20) log (4 )
_______
d) 1.857
c) log 28 − log 2
d)
_______
(21) log
⁄
4
_______
(22) log
_______
Solve each equation.
(23) log(3𝑥 ) = log 24
(24) log (𝑥 − 4) = 2
x=____
x=____
REVIEW
c) 0.861
Evaluate each expression.
(18) log 243
REVIEW
b) 0.778
(25) log (𝑥) − log 3 = log (8)
x=____
Solve each equation. Then plug in your answer(s) and check for extraneous solutions.
(26) log (𝑥) + log (𝑥 − 6) = 3
x=____
(27) log (2𝑥 ) + log (4𝑥) = 6
x=____
(28) log 𝑥 − log 𝑥 = log 100
x=____
(29) log 𝑥 + log (𝑥 + 4) = 1
x=____