lunes, 18 de abril de 2011

Resolver las siguientes ecuaciones:

Resolver las siguientes ecuaciones
1.- 7 (x+6) =5
(6) log 5 =log 7
log 0.6989=log .8450
log .8450/.6989=1.2090
1.2090/6=0.2015
2.-8 (2x-7) =3
(2x-7) log 3= log 8
log .4771=log .9030
.9030/.4771=1.8926
1.8926+7=8.8926
8.8926/2=4.4463
3.-4 (3x-5) =2
(3x-5) log 4=log 2
.6020=.3010
log 2/log 4
 .3010/.6020=.5+5=10.5/3
x=1.1666
4.-3 (½x-2)=.75
(½x-2)  log3=log .75
.4771=-0.1249
-0.1249/.4771=-0.2617
-0.2617+2=1.7383
1.7383/½=3.4766
5.- 9 (3/2x+½)=1.5
(3/2x+½) log 9=log 1.5
.9542=.1760
.1760/.9542=0.1844
0.1844-½=-0.3156
-0.3156/
3/2=-0.1402

6.-.25 (3/2x)=.5
(3/2x) log .25=log.5
-.3010/-.6020=0.5
x=0.5/½=1
7.- 3.6 (1.7x)= .8
(1.7x) log 3.6=log .8
.5563=-0.0969
1.7x=-0.0969/.5563=-0.1741
-0.1741/1.7=-0.1024
8.-1.5 (3x) =2.5
(3x) log 1.5=log 2.5
0.1760=0.3979
3x= .3979/.1760=2.2607
2.2607/3=0.7535
9.-2.3 (5/2x) =5
(5/2) log 2.3=log 5
.3017=.6989
.6989/.3017=2.3165
x=2.3165/
5/2=.9266
10.- 2 (7/3x) = 4/5
(7/3x) log 2 =log 4/5
.3010=-0.3219
-0.3219/7/3=-0.1379

11.- .8*=2.2
log .8=log 2.2
-0.0969=0.3424
x=0.3424/-0.0969
x=-3.5335


12.- .17*=.7
log .17=log .7
-0.7695=-0.1549
x=-0.1549/-0.7695=0.2012
13.- (3/2)* =3/2
14.- .56*=.97
log.56=log .97
-0.2518=0.0132
x=0.0132/-0.2518=-0.0524
15.-.8*=2.3
log .8=log 2.3
-0.0969=0.3617
x=0.3617/-0.0969=-3.7327













1.- 4 (3x+7-2x) =36
4 (1x+7) =36
log 4=log 36
.6020=1.5563
x= .15563/.6020=2.5852-=1.5852
1.5852/7=0.0323
2.- 3 (2/3x) =4
(2/3x) log 3=log 4
.4771=.6020
.6020/.4771=1.2617
1.2617/2/3=1.8925
3.-3.7 (2x-3+7x-1) =2
3.7 (1x+4)=4
log 3.7=log 2
.5682=.3010
x=.3010/.5682=.5297-1=-.4703
-.4703/4=-0.1175
4.-2.5 (1/2x) =.9
log 2.5=log .9
0.3979=-0.0457
-0.457/.3979=-0.1148
-0.1148/1/2=-0.2296
5.- 2 (7x-3-2x+6) =10
2 (5x+3) =10
log2=log 10
.3010=1
x=1/.3010=3.3222-3=0.3222
0.3222/5=0.01288
6.-3.2 (7x-3) =6
log 3.2=log6
.5051=.7781
.7781/.5051=1.5404+3=4.5404
4.5404/7=.6486
7.-5.7 (2/3x-7) =0.67
log 5.7=log 0.67
.7558=-0.1739
-0.1739/.7558=-0.2301+7=6.7698
0.7698÷2/3=10.1548
8.- 1.5 (6x-3) =4.7
(6x-3) log 1.5=log 4.7
.1760=.6720
.6720/.1760=3.818
3.818+3=6.8187
6.8187÷6=1.1364
9.- 4 (3x-7) =2.7
(3x-7) log 4=log 2.7
.6020=.4313
.4313/.6020=0.7164
.7164+7=7.7164
7.7164÷3=2.5721
10.- 2.3 (.5x-2) =.7
(.5x-2) log 2.3=log .7
.3617=-0.1549
-0.1549/.3617=-0.4282
-0.4282+2=1.5717
1.5717÷.5=3.1434




Resolución de ecuaciones

Resolución de ecuaciones
Ejemplos:
- 3(x) =8

 x log 3=log 8
x=log 8/log3
x=.9030/.4771=1.8863
3^1.8863=8
-5(2x-1)=2

(2x-1) log=log2
2x-1=log/log 5
2x-1=.3010/.6989
2x-1=.4306
2x=.4306+1
2x=1.4306/2
x=.7153
5^ (2x.7153-1)=5
1.- 5*=.17

x log 5=log .17
x=log.17/log5
x=-0.7695/.6989=-1.1010
5^-1.1010=.17
2.- .18*=3.16

x log .18=log 3.16
x= log 3.16/log .18
x=.4996/-0.7447=-0.6708
.18^-0.6708=3.16
3.-2.5 (2x) =4

(2x) log 2.5=log 4
(2x) log 4/log 2.5
(2x) .6020/.3979=1.5129
x=1.5129/2 =.7564
2.5^0.7564=4
4.-9*=8

x log 9=log 8
x=log 8/log 9
x=.9030/.9542=.9463
9^0.49463=8
5.-1.5 (5x) =5.5

(5x) log 1.5=log 5.5
(5x) log 5.5/1.5=3.6666
x=3.6666/5 0.7333
1.5^0.7333=5.5
6.- 3 (3x) =9

(3x) log 3 =log9
(3x) log 9/3
(3x).9542/.4771=2
x=3/2=1.5
7.- 3(2x-5)=5

2x+5 log=3=log5
2x+5= .6989/.4771
2x=1.4648-5
x=-3.5352/2
x=-1.7676
8.- 2.5 (2x-2)=10

(2x-2)  log 2.5=log 10
(2x-2)  1/.3979
2x=2.5131+2
x=4.5131/2
x=2.2565
9.-9 (3x-3) =6

(3x-3) log 9=log 6
3x-3= .7781/.9542
3x=.8154+3
x=3.8154/3
x=1.2718
10.- 3.5 (3x-1)=2.5

(3x-1) log 3.5=log 2.5
3x-1=.3979/.5440
x=1.7314/3
x=.5771
11.-3*=20

x= log 3= log 20
x=1.3010/.4771
x=2.7268
12.- 2 (3x) =.97

(3x) log 2= log .97
3x= -0.0438/3
x=-0.0146
13.- 3.5 (7x-1) =.87

(7x-1) log 3.5=log .87
7x-1=-0.0604/0.5440=-0.1110
x=0.889/7
x=.127
14.-.97 (2x) =.56

(2x) log .97=log .56
2x=-0.2518/-0.0132=19.0757
x=19.0757/2=9.5378
15.-2 (3x) =.89

(3x) log 2= log .89
3x=-0.0506/0.3010=-0.1681
x=-0.1681/3
x=0.0560




1.-2 (7x+1) =7

(7x+1) log 2 = log 7
7x+1= log 7/log 2
2.8073-1=1.8073
1.8073/7=.2581
2.-  2 (.7x) =.7

(.7x) log 2=log.7
(.7x) log .7/log 2
(.7x) -0.1549/.3010 =-0.5146
-0.5146/.7=-0.7351
3.-.2 (2x) =.5

(2x) log.2=log .5
(2x)= log .5/log.2
(2x) -0.3010/-0.6989=0.4306
0.4306/2=0.1076
4.- 3.5*=3.6

x log 3.5=log 3.6
x=log 3.6/log 3.5
x=.5563/.5440=1.0226
5.- 3 (2x) =10.5

2x log 3= log 10.5
2x= .4771/1.0211
2x=1.0211/2=2.1402
x=1.0701
6.- 9 (7x-10) =1

(7x-10) log1=log 9
(7x-10) log 9/log 1
.9542/0=0
0+10=10
10/7=1.42


7.-4.6*=35

x= log 4.6=log 35
x=.6627=1.5440
x=1.5440/.6627=2.32
x=2.32
8.- 5 (3x) =.58

(3x) log 5=log .58
3x= .6989=-0.2365x=-0.2365/.6989=-0.3384
-0.3384/3=-0.1128
9.-2.3 (5x-1) =.9


(5x-1) log 2.3=log .9
x=.3617=-0.0457
-0457/.3617=-0.1265
-0.1265+1=.8735
.8735/5=.1747
10.-2*=27

x= log 2= log 27
.3010=1.4313
1.4313/.3010=4.7553
x=4.7553