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
Matematika
ayat14
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
1 Jawaban
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1. Jawaban SadonoSukirno
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