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