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2^n – 2^n-² = 192. Berapakah nilai n?

2^n – 2^n-² = 192. Berapakah nilai n?

Eksponen

2^n – 2^(n – 2) = 192
2^n – 2^n /2^2 = 192
2ⁿ – 1/4 2ⁿ = 192
(2ⁿ)(1 – 1/4) = 192
2ⁿ × 3/4 = 192
2ⁿ = 192 × 4/3
2ⁿ = 64 × 4
2ⁿ = 2⁶ × 2²
n = 6 + 2
n = 8

∴ Nilai n = 8