Question

Which is greater: ${\log }_{2}11$ or ${\log }_{11}2$?

• A. Equal
• B. ${\log }_{2}11$
• C. ${\log }_{11}2$
• D. Cannot be determined

Answer 1

The correct option is B ${\log }_{2}11$

In ${\log }_{11}2$, if $a=11,b=2$, then ${\log }_{11}2<1$
[if $a>b$, then ${\log }_{b}a>1$ and ${\log }_{a}b<1$]
Hence, ${\log }_{2}11$ is greater.