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Laws of logarithms - practice

Authored by Frantsik Ágostonné

Mathematics

11th - 12th Grade

CCSS covered

Used 35+ times

Laws of logarithms - practice
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11 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Simplify: log(3) + 2log(5)

log(75)
2log(15)
log(30)
log(13)

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Simplify: log(16) - 3log(2)

log(2)
log(10)
-3log(8)
3log(14)

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Condense the following logarithm: 3 log2 x + 2 log2 y – 4 log2

logx3y2∕z4
logx3y2z4
log2 xyz9
9log2 xyz

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Expand the following logarithm: 
log2 5x.

log2 5 - log2 x 
log2 5 + log2 x 
2log 5 + 2log x
log5 2 + logx 2

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Expand the following logarithm: 
log2 6/y 

log2 6 - log2 y 
log2 y - log2 6 
2log 6 + 2log y
log2 6 - y

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Evaluate logb(1)

0
1
-1
b

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Evaluate logb(b)

-1
0
1
b

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