מתמטיקה - 4 יח"ל - כיתה י"ב - חלק א'

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ﺍﻟﻔﺻﻝ :7 ﻣﻌﺎﺩﻻﺕ ﻟﻭﻏﺭﻳﺛﻣﻳّﺔ ﻭﻣﺗﺑﺎﻳﻧﺎﺕ ﻟﻭﻏﺭﻳﺛﻣﻳّﺔ

ﺗﻤﺎﺭﻳﻦ ﻟﻠﻌﻤﻞ ﺍﻟﺬّﺍﺗﻲ

ﺣﻠّﻮﺍ ﺍﻟﻤﻌﺎﺩﻻﺕ ﻓﻲ ﺍﻟﺘّﻤﺎﺭﻳﻦ (18) – (1) .

 



3 log (

) log (

)

(1)

2 7 x

5

x

3

 



5 log (

) log (

)

(2)

3 5 x

3

x

5

3 2 3 log log log x  

(3)

2 2 2 1 2 3 log ( ) log x  

(4)

1 x  

log

log

(5)

2

5 2 x   

log log

log

(6)

2

18 x    ) log

log (

(7)

1

x

x  



log (

3 2 2 2 ) log

(8)



)  

log log ( x

(9)

6 3

x

3

3

3  



2 log (

) log

(10)

2

x

x

2

 

1 1    )

4 log (

) log (

log

(11)

2 1 x

5

x

4

4



)  

log log ( x

(12)

2

6 0

x

6 25 2 x  

)  

log (

) log (

(13)

3 0

x



)  

2 log ( ) log ( x

(14)

1 1

x

4

4

1  

4   

log (

x

) log (

x

) log log

(15)

2 2 5

 

3  

 

7 log (

) log (

) log (

1 2 2 ) log

(16)

2 1 x

x

x

7

7

7

1 x x    

ln (

) ln ln ln

(17)

2

9 2

9 x     ) ln (

2

ln (

x

1 2 3 ) ln

(18)

أﺟﻮﺑﺔ ﻧﮫﺎﺋﯿّﺔ

x  x 

x  x 

x  x 

x  x 

x  x 

x  x 



(7)

(6)

(5)

(4)

(3)

(2)

(1)

4 0

2 0

2

5

2 4

4

x 

(14) 2

(13) 4

(12) 3

(11) 3

(10) 4

(9) 3

(8)

2 8









x  (17)

x 

1 2

,

,

(18)

(16)

(15)

9

6

3

2

7

x

x

x

x

2

1

2

1

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