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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