Home » If 2log3 y + log3 x2 = 4, then y is

If 2log3 y + log3 x2 = 4, then y is

If 2log₃ y + log₃ x² = 4, then y is

A.
4 – log₃
B.
(frac{4}{log_3 x})
C.
(frac{4}{x})
D.
(pm) (frac{9}{x})

Correct Answer: Option D

Explanation

2log₃y + log₃x² = 4
log₃y² + log₃x² = 4
∴ log₃ (x²y²) = log₃81(correct all to base 4)
x²y² = 81
∴ xy = (pm)9
∴ y = (pm)(frac{9}{x})