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Exponenciales, logaritmos y paralelas

Created by

Lopez Escamilla Samuel Guadalupe
Lopez Escamilla Samuel Guadalupe
Mexico

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Ecuaciones y SeccionesOnline version

Exponenciales, logaritmos y paralelas

by Lopez Escamilla Samuel Guadalupe
1

Resuelve la ecuación exponencial: 2^{x}=16.

2

Ecuación logarítmica: log_3(9)=?

3

Si e^{x}=7, ¿x approximately?

4

Resuelve: log_{10}(1000)=?

5

La ecuación 5^{x}=1 tiene x=?

6

Si a^{x}=b y a=4, b=64, ¿x?

7

¿Qué ángulo corresponde a un ángulo alterno interior cuando la transversal corta dos rectas paralelas?

8

Si dos rectas son paralelas y una transversal corta, los ángulos corresponding son:

9

En una figura con paralelas cortadas por una secante, ¿qué relación tienen los ángulos alternos internos?

10

La secante interseca dos paralelas formando ángulos de 120°, ¿cuál es el ángulo correspondiente en la otra intersección?

11

resolviendo: 10^{x}=0.5, ¿x?

12

Si e^{2x}=7, ¿x?

13

Encuentra x tal que 2^{x}=8, ¿x?

14

Si la recta l1 y l2 son paralelas y una secante corta, ¿qué tipo de ángulos se crean en las intersecciones?

15

¿Qué opción describe mejor las ecuaciones logarítmicas?

Explicación

2^x=16 implica x=log2(16)=4.

3^2=9, por tanto log_3(9)=2.

x=ln(7)≈1.946.

10^3=1000, así que 3.

5^0=1.

4^3=64.

Los ángulos alternos interiores son congruentes.

Corresponding angles son iguales.

Los alternos internos son congruentes.

Ángulos correspondientes son congruentes.

x=log(0.5)=−ln2≈−0.693.

2x=ln7, x=0.5 ln7≈0.5×1.946≈0.973.

2^3=8.

Convenio: los ángulos equivalentes son iguales; los de la pregunta usan terminología.

Las logarítmicas buscan x en log_b(x) o log_b(s) igual a etc.

 
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