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If log3x2 = -8, what is x?

If log3x2 = -8, what is x?
  • A.
    (frac{1}{3})
  • B.
    (frac{1}{9})
  • C.
    (frac{1}{27})
  • D.
    (frac{1}{81})
Correct Answer: Option D
Explanation

log3x2 = -8
x2 = 3-8
x = (3^{-8 times frac{1}{2}})
x = 3-4
x = (frac{1}{3^4})
x = (frac{1}{81})

There is an explanation video available below.

Explanation Video