What is the number of digits in 333 ? Given that log3 = 0.47712?

 Let    $Let x=333$=  $333$

 Then,  $\log x = 33 \log 3$  

= 27 x 0.47712 = 12.88224 

Since the characteristic in the resultant value of log x is 12

$\therefore$The number of digits in x is (12 + 1) = 13 

Hence the required number of digits in  $333$is 13.