Wilfredo Francisco Cuellar

Casa

Profesor

2 010

Se lee: “ logaritmo de un nùmero Nen base b, es igual a x ”

númerobase

logaritmobNlog = x

blog N = x

xb = N

5Reducir : log 2 5 = x

x5 = 2 5

x 25 = 5 x = 2

3Reducir : log x = 4

43 = x 8 1 = x

5Reducir : log x = 2

25 = x

2 22 5 = x 6 2 5 = x

6 Reducir : log x = 6

3

6 63 = x

9 = x

3 = x

2 23 = x

32

Reducir : log x = 3

3 32 = x 38 = x

3 Reducir : log 5 = x5

3 x5 = 5

1x =

3

3

3x 35 = 5

3 x 15 = 5

32

28 = x

364 = x

3 34 = x 4 = x

5 5

Reducir : log 2 7 = x 3

5 x5 3 = 2 7

x 33 = 35

5 55 x 3 = 2 7

x = 3

5 Reducir : log 3 1 2 5 = x

5

5 x 5 = 3 1 2 5

x 2 55 = 55

555 x

5 = ( 5 ) x = 2 5

5Reducir : log ( 3x + 4 ) = 2

25 = 3 x + 4

2 1 = 3 x2 5 = 3 x + 4 7 = x

5 x - 344 1

Reducir : log = 0

0 5 x - 34 1 =

4

4 = 5 x - 35 x - 3

1 = 4

7 = x

5

1 6Reducir : log 2 5 6 = x

x1 6 = 2 5 6

x = 2x 21 6 = 1 6

8

1Reducir : log x =

3

1 / 38 = x

2 = x

133

2 = x

b

log b 1

2

log 2 1 8

log 8 1

4

log 4 1 9

log 9 1 7

log 7 1

m

log m 1 6

log 6 1

b b

mlog b m . log b

3log 8 1

34

log 3

3

4 . log 3

4

5log 2 5

52

log 5

5

2 . log 5

2

7log 3 4 3

73

log 7

7

3 . log 7

3

b b blog + log = loN g M M N

7 7log 8 + log 2

7log 1 6

4 4log 5 + log 9

4log 4 5

6 6 6log 4 + log 3 + log 3

6log 3 6

26

log 6 62 log 6 2

A

Bb b bA Blog - log = log

5 5log 2 7 - log 3

5log 9

6 6log 7 2 - log 9

6log 8

2 2log 2 8 - log 7

2log 4

22

log 2 22 log 2 2

b 2 75 x 1 0

log b + log 2 = log 7

b5 log b +

5 + x = 10

x = 5

3 2 6x 3 2

4 log 3 - 2 log 2 = 5 log 6

7 10 log 7

2 x log 2 =

34 x log 3 -

4 x - 6 = 10

4 x = 1 6

6 10 log 6

2 6 log 2 =

x = 4

2 5 94 3 2

9 log 2 + x log 5 = 3 log 9

23 6 log 2 +

3 6 + 3 x = 6

3 x = - 3 0

9 6 log 9

5 3 x log 5 =

2 5 99 log 1 6 + x log 1 2 5 = 3 log 8 1

x = - 1 0

4 7 53 2 4

3 x log 4 + x log 7 = 1 1 log 5

49 x log 4 +

9 x + 2 x = 4 4

1 1 x = 4 4

5 4 4 log 5

7 2 x log 7 =

4 7 53 x log 6 4 + x log 4 9 = 1 1 log 6 2 5

x = 4