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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