Jika 9^n +9^n+1 = 20, maka 27^n = ...
Matematika
aryadi27
Pertanyaan
Jika 9^n +9^n+1 = 20, maka 27^n = ...
1 Jawaban
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1. Jawaban Anonyme
Bab Eksponensial
Matematika SMA Kelas X
9ⁿ + 9ⁿ⁺¹ = 20
9ⁿ + 9ⁿ . 9 = 20
10 . 9ⁿ = 20
9ⁿ = 20/10
9ⁿ = 2
(3²)ⁿ = 2
3²ⁿ = 2
√(3²ⁿ) = √2
3ⁿ = √2
27ⁿ = (3³)ⁿ
= (3ⁿ)³
= (√2)³
= (√2 x √2 x √2)
= 2√2