Question 7

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Jambmaths question: 

If ${{\log }_{3}}18+{{\log }_{3}}3-{{\log }_{3}}x=\log 3,$ find x

Option A: 

0

Option B: 

3

Option C: 

2

Option D: 

1

Jamb Maths Solution: 

$\begin{align}  & {{\log }_{3}}18+{{\log }_{3}}3-{{\log }_{3}}x=3 \\ & {{\log }_{3}}\frac{18\times 3}{x}=3 \\ & {{\log }_{3}}\frac{54}{x}=3 \\ & \frac{54}{x}={{3}^{3}} \\ & \frac{54}{x}=27 \\ & x=\frac{54}{27}=2 \\\end{align}$

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