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Quiz: Exponenciales y Logarítmicas

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Quiz: Exponenciales y Logarítmicas

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Domina inversas y logaritmos

Created by

Brenda Hadely Ramirez
Brenda Hadely Ramirez
El Salvador

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Quiz: Exponenciales y Logarítmicas
 

Quiz: Exponenciales y LogarítmicasOnline version

Domina inversas y logaritmos

by Brenda Hadely Ramirez
1

¿Qué condición debe cumplir una función para que exista su inversa?

2

Si f(x)=x^3, ¿cuál es el dominio y rango de su inversa?

3

¿Qué define el logaritmo log_b(x)?

4

Propiedad: log_b(xy)

5

Cambio de base: log_a(x) en base b se expresa como

6

Definición de la función logarítmica y su gráfica: f(x)=log_b(x)

7

Relación entre exponenciales y logarítmicas

8

¿Qué dominio tiene log_b(x)?

9

Condición de la base para un logaritmo válido

10

Inversa de f(x)=log_b(x)

Explicación

La inversa solo existe si cada valor del dominio tiene una imagen única y viceversa.

La inversa de x^3 es la raíz cúbica, con dominio y rango reales.

Por definición, log_b(x) = y si b^y = x.

La suma de logaritmos corresponde al producto.

Se usa la proporción de logaritmos para cambiar de base.

Las gráficas crecen si la base es mayor que 1 y atraviesan x>0 con f(1)=0.

La función exponencial y su logaritmo son inversos exactos.

El logaritmo solo está definido para números positivos.

La base debe ser positiva y distinta de 1.

La inversa de un logaritmo es la exponencial con base b.

 
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