Matematika

Pertanyaan

tentukan nilai n dari a.(-3/4)^n=81/256 b.(2/3)^n=81/16 c.(1 1/2)^n=243/32 d.(-3/5)^n=125/8
tentukan nilai n dari a.(-3/4)^n=81/256 b.(2/3)^n=81/16 c.(1 1/2)^n=243/32 d.(-3/5)^n=125/8

1 Jawaban

  • 1) (-3/4)^n = (-3⁴/4⁴)
    (-3/4)^n = (-3/4)⁴
    n = 4
    2) (2/3)ⁿ = (81/16)
    (2/3)ⁿ = (3⁴/2⁴)
    (2/3)ⁿ = (3/2)⁴
    n = 4
    3) (1½)ⁿ = (243/32)
    (3/2)ⁿ = (3^5/2^5)
    (3/2)ⁿ = (3/2)^5
    n = 5
    4) (-3/5)ⁿ = (125/8)
    (-3/5)ⁿ = (5³/2³)
    (-3/5)ⁿ = (5/2)³
    solusinya bukan bilangan bulat karena yg didalam kurung angkanya beda