waecmaths question:
Given that ${{\log }_{x}}64=3$, evaluate $x{{\log }_{2}}8$
Option A:
6
Option B:
9
Option C:
12
Option D:
24
waecmaths solution:
$\begin{align} & {{\log }_{x}}64=3 \\ & {{x}^{3}}=64 \\ & {{x}^{3}}={{4}^{3}} \\ & x=4 \\ & x{{\log }_{2}}8=3{{\log }_{2}}8=3{{\log }_{2}}{{2}^{3}}=(3\times 3){{\log }_{2}}2=9 \\\end{align}$
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