Precalculus Assignment | Get Paper Help

two files, very short assignments and answer keys are at the endHonors Pre-Calculus
3.4 & 3.5 Quiz Review
Assuming all variables are positive, use properties of logarithms to write the expression as a sum or difference of
logarithms or multiples of logarithms.
1) l og3
2)
log9
Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that
all variables represent positive real numbers.
3) 5 logm x – 9 logm p2
4) x + y
Use the change of base rule to find the logarithm to four decimal places.
5) 0.596
Write the expression using only the indicated logarithms.
6) x using common logarithms
7) 10 using common logarithms
For #8 – 14, solve algebraically.
8) = 32
9) = 4
10) 6 e6x + 5 = 36
11) 1 64 = 328
12) l og 5x = log 4 + log (x + 5)
13) (2x + 5) – (x – 2) = 1
14) = 75
Answer Key
1) l og3 16 + log3 x – log3 y
2) log9 19 – 2 log9 y – log9 x
3) l ogm
4) ( )
5) – 0.7466
6)
7)
8) x =
9) x = 3
10) – 0.535
11) 8.069
12) 2 0
13) 6 .5
14) 1 1.655

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Laws of Logs Day 1 – Expanding and Condensing
Expand each logarithm.
1) log 9
u
v
2) log 3
6
3) log 2
6
4
4) log 8
6
7
5) log 7
3
5 6) log 2 (
6 ⋅ 11)
7) log 9
(
x
y )6
8) log 5
(
x ⋅
y)3
9) log 8 (
u
v
3)
10) log 2
u
3
v
Condense each expression to a single logarithm.
11)
log 5
3 −
log 5
11 12)
log 5
a + log 5
b
13)
log 4
u
2
14)
5 log 3
a
15)
log 6
x −
log 6
y
16)
log 8
x
3
17)
5 log 2
x
2
18)
4 log 8
a −
4 log 8
b
-1-
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19)
2log 9
u −
log 9
v 20)
log 2
7 + log 2
12 + log 2
11
CHALLENGE PROBLEMS: Expand each logarithm.
21) log 8 (
6 ⋅ 7 ⋅
5
6) 22) log 7 (
w
4 3
u)
23) log
z
x
6
y
3
24) log 6
(
z ⋅
x
4
⋅
y)3
25)
18log 4
x +
3log 4
y
26)
3 log 5
3 +
log 5
10
2
27)
log 4
a
3
+
log 4
b
3
+
log 4
c
3
+
log 4
d
3
28)
log 3
8 +
3log 3
7 +
log 3
5
2
-2-
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