Quiz about Potencias y Logaritmos

Question 1

$$\frac{1}{81}=3^{-4}$$ , significa que:

Accepted Answer

$$\log_3\left(\frac{1}{81}\right)=-4$$

Answer

$$\log_4\left(\frac{1}{81}\right)=-3$$

Answer

$$\log_3\left(\frac{1}{81}\right)=4$$

Answer

$$\log_{-3}\left(81\right)=4$$

Question 2

$$\log_z4\ -\log_z\ p+\log_z\ e$$

Accepted Answer

$$\log_x\left(\frac{4e}{p}\right)$$

Answer

$$\log_x\left(\frac{4r}{2p}\right)$$

Answer

Ninguno

Answer

$$\log_x\left(\frac{4e}{o}\right)$$

Question 3

Escribe como un solo logaritmo:

log 6 - log 3 + 2 log 7

Accepted Answer

log 98

Answer

log 78

Answer

log 56

Answer

log 45

Question 4

Utiliza el cambio de base de los logaritmos, para resolver el siguiente ejercicio $$\log_48$$

Accepted Answer

$$\frac{\log_28}{\log_24}=\frac{3}{2}$$

Answer

$$\frac{\log_88}{\log_44}=1$$

Answer

$$\frac{\log_24}{\log_28}=\frac{2}{3}$$

Answer

$$\frac{\log4}{\log8}=\frac{2}{3}$$

Question 5

Calcula, utilizando las propiedades de las potencias

$$\left[\left(\frac{2}{3}\right)^{-1}\cdot\left(\frac{3}{2}\right)^4\right]^2=$$

Accepted Answer

$$\left(\frac{3}{2}\right)^{10}$$

Answer

$$\left(\frac{3}{2}\right)^{-10}$$

Answer

$$\left(\frac{2}{3}\right)^6$$

Answer

$$1$$

Answer

$$\left(\frac{3}{2}\right)^7$$

Question 6

Calcula $$5\sqrt{8}–\sqrt{18}$$

Accepted Answer

$$7\sqrt{2}$$

Answer

$$4\sqrt{10}$$

Answer

$$-4\sqrt{10}$$

Answer

$$\sqrt{2}$$

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