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Laws of Logarithm

Laws of Logarithm practice worksheet
Academic year: 2023/2024
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City of Mandaluyong Science High School

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Unit 9: Laws of Logarithms • Grade 11

Copyright © 2019 Quipper Limited

20

Worksheet III

A. Expand the following logarithmic expressions using the laws of logarithms. Simplify if

possible. (6 points)

1. log( 1000 𝑥 ( 𝑦 * )

2. log ( ,

*-. / 0

1 2 3

3. log 4 ,

. / 01 /

56 √ 8 3

B. Express the following as single logarithms. ( 6 points)

1. 2 log 𝑥 + 5 log 𝑦 − 3 log 𝑧

2. 3 log 𝑎 + 2 log 𝑏 − 4 log 𝑐 − 5 log 𝑑

3. 3 log 𝑥 +

5

* log 𝑦 − 2 log 𝑧

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Laws of Logarithm

Subject: mathematics

School: City of Mandaluyong Science High School

Was this document helpful?
Unit 9: Laws of Logarithms • Grade 11
Copyright © 2019 Quipper Limited
20
Worksheet III
A. Expand the following logarithmic expressions using the laws of logarithms. Simplify if
possible. (6 points)
1.
log
(
1000𝑥(𝑦*
)
2.
log(
,
*-./0
12
3
3.
log4
,
./01/
56
√
8
3
!
!
!
!
B. Express the following as single logarithms. (6 points)
1.
2log𝑥 + 5log𝑦 − 3log𝑧
2.
3log𝑎 + 2log𝑏 − 4log𝑐 − 5log𝑑
3.
3log𝑥 + 5
*log𝑦 − 2log𝑧

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