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

Toán Lớp 7: tìm x biết : (1/4).(2/6).(3/8).(4/10).(5/12)-(30/62).(31/64) = 2^x

Toán Lớp 7: tìm x biết :
(1/4).(2/6).(3/8).(4/10).(5/12)….(30/62).(31/64) = 2^x

Comments ( 2 )

  1. 1/4 . 2/6 . 3/8 . 4/10… 30/62 . 31/64 = 2^{x}
    $\Rightarrow$ 1/{2.2} . 2/{2.3} . 3/{2.4} . 4/{2.5} … 30/{2.31} . 31/{2.32}= 2^{x}
    $\Rightarrow$ {1.2.3…30.31}/{1.2.3…30.31.2^{30}.64} = 2^{x}
    $\Rightarrow$ 1/{2^{30}.64} = 2^{x}
    $\Rightarrow$ 1/{2^{30}.2^{6}} = 2^{x}
    $\Rightarrow$ 1/{2^{36}} = 2^{x}             
    $\Rightarrow$ x = -36
    $\text{Vậy}$ x = -36 
     

  2. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    1/4 . 2/6 . 3/8 . 4/10 . 5/12 … 30/62 . 31/64 = 2^x
    <=> (1.2.3.4.5…30.31)/(4.6.8.10.12….62.64) = 2^x
    <=> (1.2.3.4.5….30.31)/(2^31(2.3.4.5.6…31.32) )= 2^x
    <=> 1/(2^31.32) = 2^x
    <=> 1/2^36 = 2^x
    <=> x = -36

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