Equations In Logarithmic Worksheet
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1
2Math 3 HW
Logarithmic Functions
Name:______________
Write each equation in logarithmic form.
9
5
4
1. 2
= 512
2. 4
= 1024
3. 5
= 625
Evaluate each logarithm.
4.
5.
6.
log 128
log 32
log (27)
2
4
9
Write each equation in exponential form.
7.
8.
9.
log 256 4
log 1 0
log 32 5
4
7
2
Find the inverse of each function.
10.
11.
12.
y
log
x
y
log
x
y
log (4 )
x
2
8
2
Write each expression as a single logarithm.
13.
14.
log 4 log 3
log 25 log 5
5
5
6
6
Expand each logarithm. Simplify if possible.
x
15. log xyz
16.
17.
3
log
log 6x y
2
yz
Use the Change of Base Formula to evaluate each expression. Round your
answer to the nearest thousandth.
18.
19.
20.
log 32
log 5
log 15
4
3
2
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