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Logaritmos y exponenciales

Authored by Alonso Jiménez Miguel

Mathematics

11th - 12th Grade

Used 21+ times

Logaritmos y exponenciales
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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Expande la expresión log⁡5(x5y)\log_5\left(\frac{x}{5y}\right)  

log⁡5x − log⁡5y −1\log_5x\ -\ \log_5y\ -1  

log⁡5x +log⁡5y +log⁡55\log_5x\ +\log_5y\ +\log_55  

log⁡5x +log⁡5y −log⁡55\log_5x\ +\log_5y\ -\log_55  

1+log⁡5y −log⁡5x1+\log_5y\ -\log_5x  

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplifica log⁡(sin⁡x+3)−log⁡553−log⁡(x+y)\log\left(\sin x+3\right)-\log_55^3-\log\left(x+y\right)  

log⁡(sin⁡x+3x+y)−3\log\left(\frac{\sin x+3}{x+y}\right)-3  

log⁡(sin⁡x)+log⁡3+log⁡5125+log⁡x+log⁡y\log\left(\sin x\right)+\log3+\log_5125+\log x+\log y  

log⁡(sin⁡x+3+x+y)−log⁡5125\log\left(\sin x+3+x+y\right)-\log_5125  

log⁡(sin⁡x+x+y+353)\log\left(\frac{\sin x+x+y+3}{5^3}\right)  

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Expande: log⁡76x5\log_76x^5  

log⁡76+5log⁡7x\log_76+5\log_7x  

5(log⁡76⋅log⁡7x)5\left(\log_76\cdot\log_7x\right)  

7log⁡6+7log⁡x57\log6+7\log x^5  

log⁡7(6+5x)\log_7\left(6+5x\right)  

4.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Calcula: ln⁡e5+log⁡ 102\ln e^5+\log\ 10^2  

77  

e5+100e^5+100  

100100  

5+25+2  

5.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Calcula: log⁡103+log⁡44−ln⁡e\log10^3+\log_44-\ln e  

33  

44  

77  

22  

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplifica: 3log⁡2x+6log⁡2y3\log_2x+6\log_2y  

log⁡2x3y6\log_2x^3y^6  

log⁡2x3+log⁡2y6\log_2x^3+\log_2y^6  

3⋅6log⁡2xy3\cdot6\log_2xy  

3log⁡x6log⁡y\frac{3\log x}{6\log y}  

7.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

SImplifica: 3log⁡2x+3log⁡7y3\log_2x+3\log_7y  

3(log⁡2x+log⁡7y)3\left(\log_2x+\log_7y\right)  

3log⁡(xy)3\log\left(xy\right)  

3log⁡xlog⁡y\frac{3\log x}{\log y}  

3(2log⁡xy)3\left(2\log xy\right)  

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