Bloc 2 – Sens des nombres et opérations ***Mise au point p. 372 #1 à 5, 8 à 10

( )

c log 4b× 2 2 log x× ^{3 ln 2×}

(

)

( )

( )

1 log 3xc

− ×

y 3

ln x 3 ln y

x

  

  

=    

 

d log y× a

( ) ( )

ln x 2

2 ln x

−

− ×

4

log 63 log 5₇ ^{2 ln 3t}

( )

3

3log 5 log 5

=

= ^m

(

)

2 m

log x x log x

= ÷

=

( )

4

log 2 2 2

log 2

 

=  × × 

 

 

=

( )

3 14 3

log 3 3

log 3

 

=  ÷ 

 

=

( )

11 4

5 9 5

log 10 10 log 10

 

=  ÷ 

 

=

(

)

6 4 6

log y y y log y

= × ×

=

log 60 log 2 5,9069

=

=

log 21 log 3 2,7712

=

=

log 25 log 4 2, 3219

=

=

log 175 log 5 3, 2091

=

=

***Mise au point p. 372 #1 à 5, 8 à 10

log 10 log 100 0, 5

=

=

log 10 log 0, 1

1

=

= −

log 64 log1

6 2

=

= −

log 10000 log 1 5,72275

=

= −

( )

2 c

c

log 3 2 log 3 2 1, 1990 2, 398

=

=

=

=

( )

2 c

c

log 5 2 log 5 2 1,765 3, 53

=

=

=

=

( )

3 c

c

log 2 3log 2 3 0,7565 2, 2695

=

=

=

=

( )

1

c c

c

log 1 log 2 1 log 22

0,7565 0,7565

= = −

= −

= −

= −

(

)

21 log 7 21 2, 1237 44, 5977

=

=

=

( )

( )

2 1 c

c

log 3 2 log 3 2 1, 1990 2, 398

= −

= −

= −

= −

( )

c

1log 7 21 2, 1237 1, 061852

=

=

=

( )

1 1

2 1 2

c c

c

log 5 log 5 1log 5

21 1,7565 0,878252

− −

 

=   =

 

 

= −

= −

= −

( )

c

1log 3 31 1, 1990 0, 39973

=

=

=

( )

( )

2 c

c

log 7 2 log 7 2 2, 1237 4, 2474

= −

= −

= −

= −

( )

( )

5 c

2 c

c c

log 2 log 7 5 log 2

2 log 7 5 0,7565 2 2, 1237 0,8905

=

=

=

=

( ) ( )

2 4

c c

c c

log 5 log 3 2 log 5 4 log 3

2 1,7565 4 1, 1990 16,8483

= ×

= ×

= ×

=

1 2

log 28 x 2 log 28

x 2 log1

4,80742 x 2 x 6,8074

= +

= +

− = +

= −

1046 = x

13

3 2 x log 8 4

log38 2 x log 13 4

2 x 0, 3824

2 x 1, 52964 x 3, 5296

= −

= −

− = −

− = −

=

e 8 x 5 0, 0003355 x 5

x 4,9997

− = +

= +

= −

25 8 x 32 8 x

x 24

= −

− = −

= −

log210, 35 4x log 0, 35

log 21 4x

0, 3448 4x x 0, 086

=

=

− =

= −

34 x x 81

= −

= −

( )

3x

log 52 x 2 log 5

3x x 2

log 2

3x 2, 3219 x 2 6,97x x 2

5,97x 2 x 0, 335

= +

 

= +

 

 

 

= +

− =

=

=

x2 3 x 3 1,73

=

= =

( )

5

1 5 5

x 625 x 625

x 625 3, 62

=

=

= =

x 1 6 x 1

6

− =

=

( )

( )

1 4

x 4 36

x 4 36 x 4 2, 45

x 1, 55

 

+ =

 

 

+ = + =

= −

***Mise au point p. 372 #1 à 5, 8 à 10

2

2 2

2 2

3

log x log x 3 log x 3

x

2 x

x 8

− =

 

=

 

 

 

=

=

( )

0

x 1

ln 0

x 1

e x 1

1 1 x x 2

− =

=− − + =

=

( )

( )

( )

2

0,5

log x 2 1 2 log x 2 1 log x 2 0, 5

10 x 2

x 10 2 1, 16

+ =

+ =

+ =

= +

= − =

( )

0

ln x 5 0 e x 52

1 5 x

x 4

+ =

= +

− =

= −

( )

3

x 2

log 3

x 2 10 x 2 1000 2 x

x 1002

− =

−= − + =

=

( ) ( )

( )

2

2

0

log x 5 log x 5 0 x 5

log 0

x 5 10 x 5

1 5 x x 6

− − − =

− =

−= − + =

=

2 2

e x x e

=

=

( ) ( )

( ) ( )

( ) ( )

7

2 2

7

2 0 6

1 1 6 6 6

log 3x log 3x 0 log 3x 0

3x

2 3x

1 3x

1 3x x 1

3

− =

=

=

 

=  

 

=

=

( )

( )

( )

2

1

log x 5 2 2 log x 5 2

log x 5 1 10 x 5

x 5

+ =

+ =

+ =

= +

=

( )( )

1 2

2

10 x 7x 20

0 x 7x 10

0 x 5 x 2

x 5 ou x 2

= − +

= − +

= − −

= =

Au début.

( )

( )

2t

2t

1,015

20000 15000 1, 015 1, 333 1, 015 log 1, 333 2t

log 1, 333 log 1, 015 2t

19, 31 2t t 9, 65

=

=

=

=

=

=

( )

( )

2t

2t

1,015

22000 15000 1, 015 1, 467 1, 015 log 1, 467 2t

log 1, 467 log 1, 015 2t

25,72 2t t 12,86

=

=

=

=

=

=