It is given that
[tex]\ln 2=0.693[/tex]Then to determine the value of ln32 is
[tex]\ln 32=\ln 2^5=5\ln 2[/tex][tex]5\ln 2=5\times0.693=3.465[/tex]Hence , the value is 3.465 which is nearer to 3.466 which is option is C.
Hence the correct option is c.