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    Ecuatii Exponentiale Irationale Si Logaritmice

    Uploaded by

    Luminita Dumitru
    The document contains 40 logarithmic equations that are to be solved in the real numbers. The equations involve various logarithmic functions with single-variable expressions as arguments, including expressions involving addition, subtraction, multiplication, powers, and combinations of these operations. The goal is to solve each equation for the variable x.

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    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd

    Ecuatii Exponentiale Irationale Si Logaritmice

    Uploaded by

    Luminita Dumitru
    133 views2 pages
    The document contains 40 logarithmic equations that are to be solved in the real numbers. The equations involve various logarithmic functions with single-variable expressions as arguments, including expressions involving addition, subtraction, multiplication, powers, and combinations of these operations. The goal is to solve each equation for the variable x.

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    The document contains 40 logarithmic equations that are to be solved in the real numbers. The equations involve various logarithmic functions with single-variable expressions as arguments, including expressions involving addition, subtraction, multiplication, powers, and combinations of these operations. The goal is to solve each equation for the variable x.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    133 views2 pages

    Ecuatii Exponentiale Irationale Si Logaritmice

    Uploaded by

    Luminita Dumitru
    The document contains 40 logarithmic equations that are to be solved in the real numbers. The equations involve various logarithmic functions with single-variable expressions as arguments, including expressions involving addition, subtraction, multiplication, powers, and combinations of these operations. The goal is to solve each equation for the variable x.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    of 2

    Fisa de lucru clasa a X-a

    Sa se rezolve in R ecuatiile :

    1 .√ x−5=2 9. √3 2 x−3=2 17. √ 2 x +3=x+ 2

    2.√ x+ 2=3 10. √3 1−x=−2 18. √ x 2−x−2=x−2

    3. √ x−1−2=0 11.√3 x+ x +1=x 19. √ 3 x+ 4=2 √ x

    4. √ x 2+1=2 12. √ 2+¿ x=x ¿ 20. √ 4 x 2 +6 x +3=x +2

    5. √ 5−x 2=1 13. √ 7−x =x−1 21. √ x−1=¿ √ x 2−x−2 ¿

    6. √ x 2−3=1 14. √ x+1=5−x 22. √ x+1+ √ x +4=3

    7. √ x 2−x−2=2 15. √ 2 x +3=x 23. √ x−1+¿ √ x −4=3 ¿

    8. √ x 2+2 x−3=2 √ 3 16. √ x+1=x−1 24. 2√ x 2−¿ 4 + √ x −2=0 ¿

    1. 32 x−1=35−x 14. 2 x−1 +2 x =12 27. 4 x −6 ∙2 x + 8=0

    2. 31− x =9 15. 2 x+3−2 x =28 28. 4 x −3 ∙2 x +2=0

    x−1 1
    3. 4 = 16. 2 x+2+ 2x−1 +2x=56 29. 25 x +5=6 ∙ 5x
    4

    4. 2 x−2=4 17. 3 x+2−3 x+1 +3 x =189 30. 9 x + 9=10 ∙ 3 x

    5. 3 x+2=9 18. 5 x+1 +10∙ 5 x =375 31. 9 x −3 x −6=0

    6. 32 x−5 =3x−8 19. 7 x+2−3 ∙ 7 x+1−20 ∙7 x =392 32. 4 x + 4=5 ∙2 x

    7. 4 x+2=2 x+5 20. 5 x +5 x+1 =3750 33. 72 x −8 ∙7 x +7=0

    x −x 5
    8. 22 x +3 x−2=8 21. 7 x −7 x−1=6 34. 2 +2 =
    2

    9. 32 x−1=81∙ 27 x+5 22. 3 x−1+3 x−2+ 3x−3=13 35. 2 x −14 ∙2−x =−5

    x− 4 x 1 x −x 10
    10. 2 = 23. 2 x+3 +2x+ 2+2 x+1 +2x =120 36. 3 +3 =
    8 3

    1
    11. =9 24. 52 x+1−52 x−1=120 37. 36 x −7 ∙ 6 x +6=0
    3

    12. 2 x +2 x+3=36 25. 32 x +2 ∙ 3x −3=0 38. 2 x + 4 x =72

    13. 3 x + 2∙ 3x +1=7 26. 9 x −4 ∙3 x +3=0


    Sa se rezolve in R ecuatiile logaritmice:
    1) log2(x+5)=2 21) log2(x+2)+log2x=3

    2) log2(x-3)=0 22) log2(x+2)-log2(x+1)=1

    3) log7(2x+1)=2 23) log 5(x+2)-log5(2x-5)=1

    4) log5(2x+1)=1 24) log 5(3x+1)=1+log5(x-1)

    5) log5(2x+3)=2 25) log 2(x-2)-log2(x-5)=3

    6) log3(10-x)=2 26) lg(x+4)+lg(2x+3)=lg(1-2x)

    7) log5(3x+4)=2 27) log 2(x2-x-2)-log2(2x-4)=1

    8) log2(x2-1)=3 28) lg(x 2-6x+5)-lg(3-x)=lg3

    9) log5(9-x2)=1 29) lg(x-5)+lg(x+4)=lg2+lg5

    10) log5(x2+2x-3)=1 30) lg 2x-4lgx+3=0

    11) log2(x2+3x-10)=3 31) 3lg2x-5lgx+2=0

    12) log2(x2-x-2)=2 32) 2lg 22x+3lgx-2=0

    13) log3(x2-4x+4)=2 33) 2log 3(x-3)+log3(x-3)=5

    14) log3(x-1)=log3(3x-7) 34) 8lg2x-9lgx+1=0

    15) log2(2x+5)=log2(x2+3x+3) 35) log 22x-6log2x+8=0

    16) log3(2x2-x-1)=log3(2x+1) 36) log32x-4log3x+3=0

    17) log2(x2-4)=log2(x2-3x+2) 37) log42(x+1)-5log4(x+1)+4=0

    18) log3(x2-6)=log3(2x-3) 38) log3x-log3(x+8)=-log3(x+3)

    19) logx(3x2+3x)=logx(9-3x) 39) log7(x-2)-log7(x+2)=1-log7(2x-7)

    20) logx(x+2)=logx(3-x) 40) log0,22x-3log0,2x+2=0

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