Question 7

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Jambmaths question: 

If ${{\log }_{3}}{{x}^{2}}=-8$, what is x,

Option A: 

$\tfrac{1}{3}$

Option B: 

$\tfrac{1}{9}$

Option C: 

$\tfrac{1}{27}$

Option D: 

$\tfrac{1}{81}$

Jamb Maths Solution: 

$\begin{align}  & {{\log }_{3}}{{x}^{2}}=-8 \\ & 2{{\log }_{3}}x=-8 \\ & {{\log }_{3}}x=-4 \\ & x={{3}^{-4}}=\tfrac{1}{{{3}^{4}}}=\tfrac{1}{81} \\\end{align}$

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