Quiz about Logaritmos y exponenciales

Question 1

Simplifica $$\log\left(\sin x+3\right)-\log_55^3-\log\left(x+y\right)$$

Accepted Answer

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

Answer

$$\log\left(\sin x\right)+\log3+\log_5125+\log x+\log y$$

Answer

$$\log\left(\sin x+3+x+y\right)-\log_5125$$

Answer

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

Question 2

Expande: $$\log_76x^5$$

Accepted Answer

$$\log_76+5\log_7x$$

Answer

$$5\left(\log_76\cdot\log_7x\right)$$

Answer

$$7\log6+7\log x^5$$

Answer

$$\log_7\left(6+5x\right)$$

Question 3

Calcula: $$\ln e^5+\log\ 10^2$$

Accepted Answer

$$7$$

Answer

$$e^5+100$$

Answer

$$100$$

Answer

$$5+2$$

Question 4

Calcula: $$\log10^3+\log_44-\ln e$$

Accepted Answer

$$3$$

Answer

$$4$$

Answer

$$7$$

Answer

$$2$$

Question 5

Simplifica: $$3\log_2x+6\log_2y$$

Accepted Answer

$$\log_2x^3y^6$$

Answer

$$\log_2x^3+\log_2y^6$$

Answer

$$3\cdot6\log_2xy$$

Answer

$$\frac{3\log x}{6\log y}$$

Question 6

SImplifica: $$3\log_2x+3\log_7y$$

Accepted Answer

$$3\left(\log_2x+\log_7y\right)$$

Answer

$$3\log\left(xy\right)$$

Answer

$$\frac{3\log x}{\log y}$$

Answer

$$3\left(2\log xy\right)$$

Question 7

Resuelve: $$\log\ x+\log\ 20=3$$

Accepted Answer

$$50$$

Answer

$$10$$

Answer

$$20$$

Answer

$$100$$

Question 8

Resuelve: $$\log_3x=4$$

Accepted Answer

$$81$$

Answer

$$4$$

Answer

$$9$$

Answer

$$16$$

Question 9

Resuelve: $$\log_2x=-1$$

Accepted Answer

$$\frac{1}{2}$$

Answer

$$2$$

Answer

$$-2$$

Answer

$$-\frac{1}{2}$$

Logaritmos y exponenciales

15 questions

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