logaritmos basico i
DESCRIPTION
LOGARITMOS BASICOTRANSCRIPT
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