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Logarithm Properties

Authored by Adrienne Vogelsang

Mathematics

10th - 12th Grade

CCSS covered

Used 782+ times

Logarithm Properties
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Expand the following:  log⁡7(4x)\log_7\left(4x\right)  

 log⁡7(4)+log⁡7(x)\log_7\left(4\right)+\log_7\left(x\right)  

 log⁡7(4)−log⁡7(x)\log_7\left(4\right)-\log_7\left(x\right)  

 log⁡7(x4)\log_7\left(x^4\right)  

 4log⁡7(x)4\log_7\left(x\right)  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

2.

FILL IN THE BLANKS QUESTION

3 mins • 1 pt

 log⁡nn=\log_nn=   (a)  

Tags

CCSS.HSF.BF.B.5

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Expand the following:  log⁡5(z8)\log_5\left(z^8\right)  

 5log⁡8(z)5\log_8\left(z\right)  

 8log⁡5(z)8\log_5\left(z\right)  

 log⁡5(8z)\log_5\left(8z\right)  

 8+log⁡5(z)8+\log_5\left(z\right)  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Simplify the following:  log⁡324−log⁡36\log_324-\log_36  

 log⁡318\log_318  

 log⁡3144\log_3144  

 log⁡34\log_34  

 log⁡12\log12  

 18log⁡318\log3  

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

5.

FILL IN THE BLANKS QUESTION

3 mins • 1 pt

 log⁡90001=\log_{9000}1=   (a)  

Tags

CCSS.HSF.BF.B.5

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Expand the following:  log⁡(j4k7)\log\left(j^4k^7\right)  

 log⁡(4j)+log⁡(7k)\log\left(4j\right)+\log\left(7k\right)  

 11log⁡(j+k)11\log\left(j+k\right)  

 28log⁡(jk)28\log\left(jk\right)  

 4log⁡(j)+7log⁡(k)4\log\left(j\right)+7\log\left(k\right)  

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Simplify the following:  log⁡4x+log⁡4x\log_4x+\log_4x  

 log⁡4(x2)\log_4\left(x^2\right)  

 log⁡4(2x)\log_4\left(2x\right)  

 log⁡16(x2)\log_{16}\left(x^2\right)  

 log⁡8(2x)\log_8\left(2x\right)  

 log⁡4x\log_4x  

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

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