Question 9

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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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