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Quiz de Logaritmos (Bachillerato 2°)

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Quiz de Logaritmos (Bachillerato 2°)

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Logaritmos: definición y propiedades

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Kevin Rm
Kevin Rm
El Salvador

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Quiz de Logaritmos (Bachillerato 2°)
 

Quiz de Logaritmos (Bachillerato 2°)Online version

Logaritmos: definición y propiedades

by Kevin Rm
1

¿Qué es un logaritmo?

2

Propiedad: log_b(xy) = log_b(x) + log_b(y). ¿Qué requiere x,y>0?

3

Cambio de base: log_a(b) se puede expresar como:

4

¿Qué describe la función logarítmica y su gráfica?

5

Relación entre funciones exponencial y logarítmica: si y=log_b(x) entonces x

6

¿Qué describe la función inversa de y=f(x)?

7

Dominio de la función logarítmica log_b(x)

8

Propiedad: log_b(x^k) =

9

Si log_2(8) = ?

10

¿Qué indica la tasa de crecimiento de la logarítmica en su gráfica?

Explicación

El logaritmo es el exponente al que debe elevarse la base para obtener el argumento.

Las logaritmos sólo están definidos para números positivos.

La fórmula de cambio de base es log_c(b) dividido por log_c(a) para cualquier base c positiva.

La logarítmica tiene dominio positivo y crece despacio, con asintota vertical en 0.

Logaritmo y exponencial son funciones inversas: x = b^y si y = log_b(x).

La inversa invierte dominio y rango de la función original siempre que f sea bijectiva.

El argumento del logaritmo debe ser positivo.

La potencia se mueve como factor fuera del logaritmo.

2^3 = 8, así que el logaritmo en base 2 de 8 es 3.

La logarítmica crece rápido al inicio y luego se aplanan sus incrementos.

 
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