Question 6

loading...

Prev/Next links

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: 

$\begin{align}  & {{\log }_{x}}64=3 \\ & {{x}^{3}}=64 \\ & {{x}^{3}}={{4}^{3}} \\ & x=4 \\ & x{{\log }_{2}}8=3{{\log }_{2}}8=3{{\log }_{2}}{{2}^{3}}=(3\times 3){{\log }_{2}}2=9 \\\end{align}$

maths year: 
maths topics: