Logaritmos Lesson

3 Slides • 7 Questions

1

Logaritmos

Matemáticas Académicas 4º ESO

2

DEFINICIÓN

$\log_{\ b}\ A=x\ \ \leftrightarrow\ \ b\ ^x\ =A\$ $\left(b>0\ \ y\ b\ne1\right)$

Ejemplos:

\log_2\ \frac{1}{2\ }=-1

\log_{\ \frac{1}{3}}9\ =-2

\log_x\ x^2=2\ \left(\left(si\ x>0\ \ y\ \ x\ \ne1\right)\right)

3

Multiple Choice

$\log_{\ 5}\ 625\ =$

1

4

2

-4

3

1/4

4

No tiene solución

4

Multiple Select

$\log_{\ 2\ }-1\ =$

1

0

2

No tiene solución

3

-1

4

1

5

Multiple Choice

$\log_{\ \sqrt{2}}\ 2\ =$

1

-2

2

1/2

3

2

4

-1/2

6

Multiple Choice

$\log_{ }1000000=$

1

6

2

5

3

7

4

3

7

Propiedades de los logaritmos

8

Multiple Choice

Aplica las propiedades de los logaritmos para calcular

Si\ \log_{\ a\ }x\ =3\ \ \ \ \ \ entonces\ \ \ \ \log_{\ a\ \ }x^3=\

1

2

6

3

4

9

Multiple Choice

Aplica las propiedades de los logaritmos para calcular:

Si\ \log_b\ A\ =3\ \ ,\ \ \log_b\ B\ =2\ \ \ \ entonces\ \ \ \ \log_b\ \frac{A}{B}\ =

1

-1

2

1

3

2

4

Otra solución

10

Multiple Choice

Aplica las propiedades de los logaritmos para calcular:

Si\ \log_{ }\left(xy^2\right)=1\ \ \ \ \ y\ \ \ \log_{ }\left(x^2y\right)=1\ \ \ \ entonces\ \ \ \log\left(xy\right)=

1

2

3

2/3

4

-1

Logaritmos

Matemáticas Académicas 4º ESO

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