Matematika

Pertanyaan

tlg cari nilai x
thx^^
tlg cari nilai x thx^^

1 Jawaban

  • Logaritma
    Kelas X

    ²log ²log (2ˣ⁺¹ + 3) = 1 + ²log x
    ²log ²log (2ˣ⁺¹ + 3) = ²log 2 + ²log x
    ²log ²log (2ˣ⁺¹ + 3) = ²log 2x
    ²log (2ˣ⁺¹ + 3) = 2x
    2ˣ⁺¹ + 3 = 2²ˣ
    (2ˣ)² - (2ˣ • 1) - 3 = 0

    Misal 2ˣ = a

    a² - 2a - 3 = 0
    (a - 3)(a + 1) = 0
    a = -1 (ditolak) atau a = 3

    2ˣ = 3
    x = ²log 3