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Base e and Natural Logarithm

Authored by Sheryl Luoma

Mathematics

9th - 12th Grade

CCSS covered

Used 1+ times

Base e and Natural Logarithm
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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write the equation in logarithmic form.
 e3=xe^3=x  

 ln⁡x=3\ln x=3  

 ln⁡3=x\ln3=x  

 ln⁡3 x = 3\ln_3\ x\ =\ 3  

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write the equation in exponential form. 
 ln⁡53=x\ln53=x   

 e53=xe^{53}=x  

 ex=53e^x=53  

 53e =x53^{e\ }=x  

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write the equation in logarithmic form.
 ex=36e^x=36  

 ln⁡36=x\ln36=x  

 ln⁡x=36\ln x=36  

 ln⁡e = 36x\ln_e\ =\ 36x  

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 Write the equation in exponential form. 
 ln⁡x=18\ln x=18  

 x18=ex^{18}=e  

 e18=xe^{18}=x  

 ex=18e^x=18  

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Condense the expression as a single logarithm.

 ln⁡4+ln⁡3x\ln4+\ln3x  

 ln⁡7x\ln7x  

 ln⁡(3x)4\ln\left(3x\right)^4  

 ln⁡12x\ln12x  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Condense the expression as a single logarithm.

 12⋅ln⁡256−3⋅ln⁡2\frac{1}{2}\cdot\ln256-3\cdot\ln2  

 ln⁡128\ln128  

 ln⁡8\ln8  

 ln⁡32\ln32  

 ln⁡2\ln2  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.A.2

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 ln⁡x\ln x is equivilant to what?  

 log⁡ex\log_ex  

 e⋅log⁡xe\cdot\log x  

 log⁡10x\log_{10}x  

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