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Laws of Logarithms

Authored by Oscar Puente

Mathematics

9th Grade

CCSS covered

Used 35+ times

Laws of Logarithms
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30 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Condense the Logarithm 5log⁡a − 25log⁡b5\log_{ }a\ -\ 25\log_{ }b  

log⁡ (a5+b25)\log\ \left(a^5+b^{25}\right)  

log⁡ (a5−b25)\log\ \left(a^5-b^{25}\right)  

log⁡ (ab)25\log\ \left(ab\right)^{25}  

log⁡ (a5b25)\log_{ }\ \left(\frac{a^5}{b^{25}}\right)  

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Condense 3log⁡x+4log⁡y +log⁡z3\log_{ }x+4\log_{ }y\ +\log_{ }z  

log⁡ x3y4z\log_{ }\ x^3y^4z  

12log⁡ xyz12\log_{ }\ xyz  

log⁡ 3x4yz\log_{ }\ 3x4yz  

logx3y3z3

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

CCSS.HSA.SSE.A.2

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Use the change-of-base formula to evaluate log⁡211\log_211  

3.4593.459  

4.3594.359  

5.1235.123  

2.345

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify: log⁡4(x+4)−log⁡4(x−5)\log_4\left(x+4\right)-\log_4\left(x-5\right)  

log⁡49\log_49  

log⁡4(2x−1)\log_4\left(2x-1\right)  

log⁡4(x2−x−20)\log_4\left(x^2-x-20\right)  

log⁡4(x+4x−5)\log_4\left(\frac{x+4}{x-5}\right)  

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify: 2log⁡3(11x)2\log_3\left(11x\right)  

log⁡3(22x)\log_3\left(22x\right)  

log⁡3(121x)\log_3\left(121x\right)  

log⁡3(121x2)\log_3\left(121x^2\right)  

log⁡3(11x2)\log_3\left(11x^2\right)  

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

CCSS.HSA.SSE.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify: log⁡52+3log⁡5x\log_52+3\log_5x  

log⁡5(4x3)\log_5\left(4x^3\right)  

log⁡5(2x3)\log_5\left(2x^3\right)  

log⁡5(6x)\log_5\left(6x\right)  

log⁡5(2x3)\log_5\left(\frac{2}{x^3}\right)  

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

CCSS.HSA.SSE.A.2

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Simplify: 3log⁡92+log⁡9x3\log_92+\log_9x  

log⁡9(32x)\log_9\left(32x\right)  

log⁡9(8x)\log_9\left(8x\right)  

log⁡9(8x)\log_9\left(\frac{8}{x}\right)  

log⁡98x\log_98x   

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

CCSS.HSA.SSE.A.2

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