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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 6: (1/2)^x=1/8 5^2x-1=125 5^2x+1=125^x+25 2x=4^5.4^3 2^4-x/16^5=32^6

Tháng Hai 4, 2023 Toán học 2 Comments 0 views

Toán Lớp 6: (1/2)^x=1/8
5^2x-1=125
5^2x+1=125^x+25
2x=4^5.4^3
2^4-x/16^5=32^6

Comments ( 2 )

  1. tuyen98
    tuyen98
    4 Tháng Hai, 2023 at 12:47 chiều
    Reply
    Giải đáp:
    (1/2)^x=1/8
    =>(1/2)^x=(1/2)^3
    =>x=3
    Vậy x=3
    5^{2x-1}=125
    =>5^{2x-1}=5^3
    =>2x-1=3
    =>2x=4
    =>x=2
    Vậy x=2
    5^{2x+1}=125^{x+25}
    =>5^{2x+1}=(5^3)^{x+25}
    =>5^{2x+1}=5^{3(x+25)}
    =>2x+1=3(x+25)
    =>2x+1=3x+75
    =>3x-2x=1-75
    =>x=-74
    Vậy x=-74
    2x=4^5*4^3
    =>2x=4^{5+3}
    =>2x=4^8
    =>x=(4^8)/2=(2^16)/2=2^15
    Vậy x=2^15
    (2^4-x)/16^5=32^6
    =>(2^4-x)/(2^4)^5=(2^5)^6
    =>(2^4-x)/2^20=2^30
    =>2^4-x=2^50
    =>x=2^4-2^50
    Vậy x=2^4-2^50

  2. annhocbichchaubich
    annhocbichchaubich
    4 Tháng Hai, 2023 at 12:46 chiều
    Reply
    (1/2)^x = 1/8
    -> (1/2)^x = (1/2)^3
    -> x =3
    Vậy x =3
    $\\$
    5^{2x-1} = 125
    -> 5^{2x-1} = 5^3
    -> 2x -1 =3
    -> 2x =4
    -> x =2
    Vậy x =2
    $\\$
    5^{2x+1} = 125^{x + 25}
    5^{2x+1}  = 5^{3x+75}
    -> 2x +1 = 3x +75
    -> 3x -2x = 1 – 75
    -> x = -74
    Vậy x = -74
    $\\$
    2x = 4^5 . 4^3
    -> 2x = 4^8 
    -> x = 2^16 : 2 = 2^15
    Vậy x =2^15
    $\\$
    {2^4-x}/{16^5} =32^6
    -> 2^4 -x = 32^6 . 16^5
    -> 16 -x = 2^30 . 2^20
    -> 16 – x = 2^50
    -> x = 16 -2^50
    Vậy x =16 -2^50

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222-9+11+12:2*14+14 = ? ( )

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