Solving Logarithmic Equations
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4Algebra 2 – Chapter 6 Day #4
Name_______________________________
Homework – Solving Logarithmic Equations (6.2.1 Supplement)
Rewrite each expression as a single logarithm.
+
−
−
+
−
+
2. 3ln 2
ln 7
2 ln 4
1.
log 8
2 log 5
log 10
3. log
a
log
b
log
c
2
2
2
Expand each logarithm.
1
4
2
4.
log x y
22
5.
log
7
xyz
−
−
2
3
6.
log (2
x
3) (4
x
5)
3
Use log properties to evaluate the following:
1
−
+
−
7.
log 9
log 81
8.
log 5
log 45
9.
2 log 12
log 64
3
3
15
15
6
6
3
Solve each equation. Don’t forget to check your answers.
(
)
+
−
=
+
−
=
10.
log 3
x
14
log 5
log 2
x
11.
log
x
log
x
log 3
log 12
9
9
9
7
7
7
7
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