If log 2 = 0.3010 and log 3 = 0.4771, the values of log5 512 is

ANS:      log₅512 = log512/log5  =  $\frac{\log 29}{\log 10/2}$  = $\frac{9\log 2}{\log 10-\log 2}$ = $\frac{9*0.3010}{1-0.3010}$ =2.709/0.699 =2709/699 =3.876