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Natural Log and e

Authored by Daniel Moresco

Mathematics

10th Grade

9 Questions

CCSS covered

Used 3+ times

Natural Log and e
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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 Solve the equation.


 e(52p)+2=4e^{\left(5-2p\right)}+2=4  

 p=2.1534p=2.1534 

 p=4.3069p=-4.3069  

 p=0.6931p=0.6931  

 p=2.8466p=2.8466  

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve the equation.

 ln(4w+9)=5\ln\left(4w+9\right)=5  

 w=139.4132w=139.4132  

 w=34.8533w=34.8533  

 w=148.4132w=148.4132  

 w=403.4288w=403.4288  

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write the following equation in logarithmic form:

e3 ≈ 20.09

ln3 ≈ 20.09

ln20.09 ≈ 3

lne ≈ 3

ln20.09 ≈ e

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve the equation.  ln8+ln(n9)=5ln2\ln8+\ln\left(n-9\right)=5\cdot\ln2 



 n=13n=13  

 n=5.125n=5.125  

 n=13n=-13  

 n=11.67n=11.67  

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve the equation.

 lnkln14=2\ln k-\ln14=2  

 k=14k=14  

 k=7.3891k=7.3891  

 k=103.4468k=103.4468  

 k=1096.6332k=1096.6332  

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve the equation.

 2ec+14=6-2e^c+14=-6  

 c=2.3026c=-2.3026  

 c=2.9957c=2.9957  

 c=31.0986c=31.0986  

 c=2.3026c=2.3026  

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve the equation.  ln(2x215)=ln(x2+34)\ln\left(2x^2-15\right)=\ln\left(x^2+34\right)  

 x=7x=7  

 x=7x=-7  

 x=19x=19   x=19x=-19  

 x=7x=7   x=7x=-7  

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