Matematika

Pertanyaan

Jika 4^(x +2) + 7 dikali 2^(x + 4) = 128. Maka, 2^(x +1) adalah...


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  • jawab

    4ˣ⁺² + 7.2ˣ⁺⁴ = 128

    (2)²ˣ⁺⁴ + 7 .(2)ˣ⁺⁴ = 128

    (2ˣ)².  2⁴ +  7. 2⁴ .(2)ˣ  - 2⁷= 0...bagi 2⁴ 

    (2ˣ)² + 7 (2ˣ) - 2³ = 0

    misal 2ˣ = a -->. x = ²log a

    a² + 7a - 8 =  0
    (a  + 8)(a - 1) =0
    a = - 8 (TM)  atau a = 1

    a = 1 --> x = ²log 1 
    x= 0

    nilai 2^(x + 1)= 2^(0 +1) = 2^1 = 2

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