Mathématiques

Question

Bonjour
Resoudre les equations et inequations
A)log(2x-1)=0. [0.5;10]
B log (x-7)=log(3-x) ]-7;3[
C log(3x+5)=log(3-x) [2;10]
D log(x+2)=2. [0;100]
E log(2x+1)=2. [0;+infini[
F log(3x+1)=2log3. [0;+infini[

1 Réponse

  • A)log(2x-1)=0. [0.5;10]
    2x-1=1
    x=1
    S={1}

    B log (x-7)=log(3-x) ]-7;3[
    x-7=3-x
    2x=10
    x=5∉]-7;3[
    S=∅

    C log(3x+5)=log(3-x) [2;10]
    3x+5=3-x
    4x=-2
    x=-1/2∉
    [2;10]
    S=∅

     D log(x+2)=2. [0;100]
    x+2=100
    x=98
    S={98}

    E log(2x+1)=2. [0;+infini[
    2x+1=100
    x=49,5
    S={49,5}

    F log(3x+1)=2log3. [0;+infini[
    3x+1=9
    x=8/3
    S={8/3}


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