Resuelve las siguientes ecuaciones logarítmicas

1. Log 5   x=3

               Log = 53

 Log = 125

1. Log 9 x= ½

Log = 9 ½

Log = 3

1. Log x 9=2.1

9= 2.1/1 (1/2.1)= 2.1/2.1

(9)1/2.1 = x

X= 6.3

1. Log 2 (5x – 3) = 5

2x= 25               x=32/5

2x= 32         x= 16         

1. Log3 (x + 1) – log3 (x – 2) = 2

Log3 (x +1) + log3 (x -2) =2

Log3 3x= 32                x= 9/3

Log 3x= 32          x= 6

1. Log2 (x + 2) + log2 (x – 5) =3

Log2 (x + 2) + log2 (x-5) = 3

 Log2 – 3x = 3           x=8/ -3

Log – 3x =23             x= -2.66

1. 3x = 729

X log3 = 729

X= log 729/log3 = 6

1. 46 (27)x  =414

27x= 414/46

X= log9/log27 = 0.66

1. 800 (1/2) x = 200

1/2 t  = 200/ 800

t log 0.5 = log 0.25/ log 0.5 =2

1. 6000 0.04t = 12000

0.04 t = 12000/ 6000

t log .04 = log2/ log .04 = 0.21

1. 5 2x+1 = 8

2x + 1 log 5 = log 8

2x + 1 log8/log5

2x + 1 = 1.29                2x= 1.29 - 1

                                         X=0.29/2

                                         X= 0.145

1. 4000 (0.85)t = 2000

0.85 t = 2000/ 4000

X log0.85  log 0.5 / log 0.85 = 4.26

x

0.1

0.25

0.5

0.75

1

5

10

100

f(x)

-1

-0.60

-0.30

0.12

0

0.69

1

2