JAMB - Mathematics (2012 - No. 6)

If log3x2 = -8, what is x?
\(\frac{1}{3}\)
\(\frac{1}{9}\)
\(\frac{1}{27}\)
\(\frac{1}{81}\)

Explanation

log3x2 = -8

x2 = 3-8

x = \(3^{-8 \times \frac{1}{2}}\)

x = 3-4

x = \(\frac{1}{3^4}\)

x = \(\frac{1}{81}\)

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