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

Toán Lớp 6: Bài 9. Tìm số tự nhiên x biết: a) 3^x-1 + 5 . 3^x-1 = 162 ; b) 2^x+3 + 2^x = 144

Toán Lớp 6: Bài 9. Tìm số tự nhiên x biết:
a) 3^x-1 + 5 . 3^x-1 = 162 ; b) 2^x+3 + 2^x = 144

Comments ( 2 )

  1. a,
    3^(x -1)+5.3^(x-1) = 162
    ⇔3^(x-1)(1+5) = 162
    ⇔3^(x-1).6 = 162
    ⇔3^(x-1) = 81
    ⇔3^(x-1) = 3^4
    ⇔x-1 = 4
    ⇔x = 5
    $\text {Vậy}$ x=5
    b,
    2^(x+3)+2^x = 144
    ⇔2^x(2^3+1) = 144
    ⇔2^x. 9 = 144
    ⇔2^x = 16
    ⇔2^x = 2^4
    ⇔x = 4
    $\text {Vậy}$ x=4
    $\text {@lamtung2007}$

  2. a) 3^(x-1) + 5. 3^(x-1) = 162
    => 3^(x-1) ( 1 + 5) =162
    => 3^(x-1) .6 = 162
    => 3^(x-1) = 162 :6
    => 3^(x-1) =  27
    => 3^(x-1) = 3^3
    => x-1=3
    => x= 3+1
    => x=4
    Vậy x= 4
    b) 2^(x+3) + 2^x =144
    => 2^x . 2^3 + 2^x  = 144
    => 2^x .8 + 2^x .1=144
    => 2^x( 8+1) =144
    => 2^x . 9 = 144
    => 2^x = 144 :9
    => 2^x = 16
    => 2^x  =2^4
    =>x=4
    Vậy x= 4

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