Question # ( 2^{3-log _{2} 3}= )

# ( 2^{3-log _{2} 3}= )

(a) ( frac{8}{3} )

(b) ( frac{1}{3} )

(c) ( frac{1}{8} )

(d) none of these

Solution

( frac{2^{3}-log _{2} 3}{=} =2^{3 log _{2} 2-log _{2} 3}=2^{log _{2} 8-log _{2} 3} )

( =2 {log _{2}left(frac{8}{3}right)}{}=frac{8}{3} ) Option (a)