Matematika

Pertanyaan

Tolong dibantu ya
no 10-14
Tolong dibantu ya no 10-14

1 Jawaban

  • 14)
    2 log a + 2 log b = 12
    bdsrkn sifat log :
    → 2 log (a.b) = 12 >>> 2^12 = ab....[pers 1]

    3 *2 log a - 2 log b = 4
    → 2 log a^3 - 2 log b = 4
    → 2 log (a^3)/b = 4 >>> 2^4 = a^3 / b...[pers 2]

    dari [pers 2]
    2^4 = a^3 / b
    b = a^3 / 2^4 ....[pers 3]

    subt.nilai b ke [pers 1]
    2^12 = ab
    2^12 = a. (a^3 / 2^4)
    2^12 . 2^4 = a^4
    2^16 = a^4
    4√2^16 = 4√a^4
    2^4 = a ※→→ dpt nilai a

    subt.nilai a ke [pers 1] atau boleh jg pers 2
    2^12 = ab
    2^12 = 2^4 . b
    2^12 / 2^4 = b
    2^8 = b ※→→ dpt nilai b


    a + b = 2^4 + 2^8
    = 16 + 256 = 272