Correct : a

Simplifing the given equation using logarithm properties:
log(p² + q²) = log p + log q + 2 log 3
log(p² + q²) = log p + log q + log 3²
log(p² + q²) = log(pq) + log 9
log(p² + q²) = log(9pq)

Since log(p² + q²) = log(9pq), we have:
p² + q² = 9pq

We need to find (p⁴ + q⁴)/(p²q²)
Let's use the identity: p⁴ + q⁴ = (p² + q²)² - 2p²q²

(p² + q²)²:
From Step 2: p² + q² = 9pq
(p² + q²)² = (9pq)²
(p² + q²)² = 81p²q²

Calculating p⁴ + q⁴:
p⁴ + q⁴ = (p² + q²)² - 2p²q²
p⁴ + q⁴ = 81p²q² - 2p²q²
p⁴ + q⁴ = 79p²q²

The final value:
(p⁴ + q⁴)/(p²q²) = 79p²q² / p²q²
(p⁴ + q⁴)/(p²q²) = 79

Answer: A) 79