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})

Related:  (begin{array}{c|c} text{Age in years} & 13 & 14 & 15 & 16 & 17 \...