Jambmaths question:
Evaluate ${{\log }_{2}}8+{{\log }_{2}}16-{{\log }_{2}}4$
Option A:
4
Option B:
5
Option C:
6
Option D:
3
Jamb Maths Solution:
$\begin{align} & {{\log }_{2}}8+{{\log }_{2}}16-{{\log }_{2}}4={{\log }_{2}}{{2}^{3}}+{{\log }_{2}}{{2}^{4}}-{{\log }_{2}}{{2}^{2}} \\ & {{\log }_{2}}8+{{\log }_{2}}16-{{\log }_{2}}4=3{{\log }_{2}}2+4{{\log }_{2}}2-2{{\log }_{2}}2\text{ }\left| {{\log }_{2}}2=1 \right. \\ & {{\log }_{2}}8+{{\log }_{2}}16-{{\log }_{2}}4=3+4-2=5 \\\end{align}$
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