Question

( 2^{3-log _{2} 3}= )
(a) ( frac{8}{3} )
(b) ( frac{1}{3} )
(c) ( frac{1}{8} )
(d) none of these

JEE/Engineering Exams

Maths

Solution

4.0 (1 ratings)

( 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)

( 2^{3-log _{2} 3}= )(a) ( frac{8}{3} )(b) ( frac{1}{3} )(c) ( frac{1}{8} )(d) none of these