Find p in terms of q if (log_{3} p + 3log_{3} q = 3)
-
A.
((frac{3}{q}))3 -
B.
((frac{q}{3}))(frac{1}{3}) -
C.
((frac{q}{3}))3 -
D.
((frac{3}{q}))(frac{1}{3})
Correct Answer: Option A
Explanation
(log_{3} p + 3log_{3} q = 3)
(log_{3} p + log_{3} q^{3} = 3)
(implies log_{3} (pq^{3}) = 3)
(pq^{3} = 3^{3} = 27)
(therefore p = frac{27}{q^{3}})
= ((frac{3}{q})^{3})