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

Toán Lớp 6: tìm x a, 2^5= 4^x b, 2. 4^2 . 8^3. 16 ^4=8^x c,3^3:3^5=9^x

Toán Lớp 6: tìm x
a, 2^5= 4^x
b, 2. 4^2 . 8^3. 16 ^4=8^x
c,3^3:3^5=9^x

Comments ( 2 )

  1. a,
    2^5 = 4^x
    => 2^5 = (2^2)^x
    => 2^5 = 2^2x
    => 5 = 2x
    => x = 5 : 2
    => x = 2,5
    Vậy x = 2,5
    b,
    2 . 4^2 . 8^3 . 16^4 = 8^x
    => 2 . (2^2)^2 . (2^3)^3 . (2^4)^4 = (2^3)^x
    => 2 . 2^4 . 2^9 . 2^16 = 2^(3x)
    => 2^30 = 2^(3x)
    => 30 = 3x
    => x = 10
    Vậy x = 10
    c,
    3^3 : 3^5 = 9^x
    => 3^(3 – 5) = (3^2)^x
    => 3^(-2) = 2^(2x)
    => -2 = 2x
    => x = -1
    Vậy x = -1
     

  2. @Kem
    Lời giải và giải thích chi tiết:
    a, 2^5= 4^x
    2^5 = 2^(2x)
    ⇒ 2x = 5 ⇔ x = 5/2
    b,2 . 4^2 . 8^3 . 16^4 = 8^x
    2 . (2^2)^2 . (2^3)^3 . (2^4)^4 = (2^3)^x
    2 . 2^4 . 2^9 . 2^16 = 2^(3x)
    2^30 = 2^(3x)
    30 = 3x
    x = 10
    c,3^3 ÷ 3^5=9^x
    3^3 : 3^5 = 9^x
    3^(3 – 5) = (3^2)^x
    3^(-2) = 2^(2x)
    -2 = 2x
    x = -1

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

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