Question 4

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waecmaths question: 

Simplify the expression ${{\log }_{10}}18-{{\log }_{10}}2.88+{{\log }_{10}}16$

Option A: 

31.12

Option B: 

3.112

Option C: 

2

Option D: 

1

waecmaths solution: 

$\begin{align}  & {{\log }_{10}}18-{{\log }_{10}}2.88+{{\log }_{10}}16={{\log }_{10}}\left( \frac{18\times 16}{2.88} \right) \\ & {{\log }_{10}}18-{{\log }_{10}}2.88+{{\log }_{10}}16={{\log }_{10}}\left( \frac{18\times 16\times 100}{288} \right) \\ & {{\log }_{10}}18-{{\log }_{10}}2.88+{{\log }_{10}}16={{\log }_{10}}100 \\ & {{\log }_{10}}18-{{\log }_{10}}2.88+{{\log }_{10}}16=2 \\\end{align}$

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