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

Toán Lớp 6: a,2 mũ x +12=44 b,2 . 5 mũ x +1-1100=6 . 5 mũ 2

Toán Lớp 6: a,2 mũ x +12=44
b,2 . 5 mũ x +1-1100=6 . 5 mũ 2

Comments ( 2 )

  1. a,2^x+12=44
    2^x=44-12
    2^x=32
    2^x=2^5
    ⇒x=5
    b,2.$5^{x+1}$ -1100=6.5^2
    2.$5^{x+1}$ – 1100 = 6.25
    2.$5^{x+1}$ – 1100 = 150
    2.$5^{x+1}$ = 150+1100
    2.$5^{x+1}$ = 1250
    $5^{x+1}$  = 1250 : 2
    $5^{x+1}$ = 625
    $5^{x+1}$ = 5^4
    ⇒x+1=4
    ⇒x=3
     

  2. a) 2^x + 12 = 44
    => 2^x = 44-12 = 32
    => 2^x = 2^5
    => x = 5
    b) 2 . 5^{x+1} – 1100 = 6 . 5^2
    => 2 . 5^{x+1} – 5^2 . 2^2 . 11 = 6 . 5^2
    => 2 . 5^2(5^{x-1} – 22) = 6 . 5^2
    => 5^{x-1} – 22 = 3
    => 5^{x-1} = 25
    => 5^{x-1} = 5^2
    => x – 1 = 2
    => x = 3
     

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