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Properties of Logarithms

Authored by Zainab Shajrah

Mathematics

9th - 12th Grade

CCSS covered

Used 16+ times

Properties of Logarithms
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Write expression as a Single Logarithms

log⁡5x7\log_5x^7  

3log⁡5y23\log_5y^2  

log⁡5x3\log_5x^3  

6log⁡3x6\log_3x  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

CCSS.HSA.SSE.B.3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

log⁡5(x3)\log_5\left(\frac{x}{3}\right)  

How can you use the properties of logarithms to expand the expression?

log5 x - log5 3

log⁡5x−log⁡53\log_5x-\log_53  

15x

5x3\frac{5x}{3}  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

CCSS.HSA.SSE.B.3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Expand

log⁡53x\log_53x  

log⁡5x+log⁡53\log_5x+\log_53  

15x

log⁡5+log⁡3\log_5+\log_3  

log⁡5x+log⁡15\log_{5x}+\log15  

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Expand

log⁡x+log⁡53\log_x+\log_53  

log⁡5x+log⁡5\log_5x+\log_5  

log⁡5x+log⁡15\log_5x+\log_{15}  

2log⁡5x+log⁡532\log_5x+\log_53  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Write expression as a Single logarithm

log⁡56\log_56  

log⁡5(32)\log_5\left(\frac{3}{2}\right)  

log⁡5x2x\log_{5x}2x  

Tags

CCSS.HSF.BF.B.5

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Write expression as Single Algorithm

log⁡56\log_56  

log⁡105\log_{10}5  

log⁡55\log_55  

log⁡256\log_{25}6  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Expand

3log⁡523\log_52  

log⁡52−log⁡53\log_52-\log_53  

2log⁡52+log⁡5x2\log_52+\log_5x  

log⁡54\log_54  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

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