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Логарифмические уравнения (стр. 3 из 5)

6

5

4

3

2

3

log 43

log 4002

log 167

lg16

log 69

3

lg9

lg3

1

2

log 92

1

log 25

3

1

log 354

log 34

log 95

log 502

1

log 153

ln32

log 35

log 43

log 98

lg2

log 125

ln 45

log 26

log 67

lg3

lg12

ln6

ln2

lg2

ln21

ln2

lg15

log 203

1

log5

27

log 23

log 329

log 547

2

log 1007

1

log 65

log 53

log 57

log 63

log 52

log 98

log 83

log 47

log 566

log 272

log 425

log 727

log 283

log 545

log 489

log 245

7

6

5

4

3

2

1

4. Решить уравнения:

log4 x= log 58

−log5 x= log25 9

2log3 x= log 169

−log4 x= log 316

log 3 x= log 29

3log2 x=log 274

−log2 x= log 2 3

log27 x= log 49

log3 x= log 29

log25 x= log 95

log4 x= log 72

log3 x= log27 2

log2 x= log 38

log27 x= log 23

log9 x= log 83

log16 x= log 32

log3 x= log 23

log5 x2 = log 45

log (4 x−1)=log 34

log (2 x+2)=log 52

log3 x=log 43

1

log7

=log 67x

x

log3

=log 73 5

log (3 )4 x =log 54

x

log3

=1

5

log (54 − =x) 1

log (7 )2 x =1

log (5 x− 2) =1

log (2 x+2) =1

log5⎛⎜−

x⎞⎟=1

⎝ 8⎠

log (3 − − =x 1) 1

log ( 4 )2 − =x 1

log (62 x) = 0

log (5 )4 x = 0

log (3 x−3) = 0

x

log2

= 0

3

log ( 3 )4 x = 0

log (46 +x) = 0

log2⎛⎜−

x⎞⎟= 0

⎝ 2⎠

log (5 − − =x 2) 0

log 4x = 2

logx 9 = 2

log 27x = 3

log 25 2x =

log 36x =−2

log 49x =−2

log 16x =−2

log 64x =−3

log2 x= 5

log (3 − =x) 2

log4 x= 3

log (2 x)=−4

log8 x=−2

log (5 x)=3

log3 x=−3

log (2 − =−x) 1

3x = 5

6x = 4

7x = 8

2x = 9

8x = 3

4x = 7

9x = 5

5x = 2

7