Question 31

Jambmaths question: 

Simplify ${{\log }_{4}}256-{{\log }_{4}}4+2$

Option A: 

4

Option B: 

2

Option C: 

5

Option D: 

3

Jamb Maths Solution: 

$\begin{align}  & {{\log }_{4}}256-{{\log }_{4}}4+2={{\log }_{4}}{{4}^{4}}-{{\log }_{4}}4+2 \\ & {{\log }_{4}}256-{{\log }_{4}}4+2=4{{\log }_{4}}4-{{\log }_{4}}4+2 \\ & {{\log }_{4}}256-{{\log }_{4}}4+2=4-1+2=5 \\\end{align}$

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