Simple, knowing: $log(4) = 0.602$ Then as $256=4^4$ $log(256) = log(4^4)$ $log(4^4) = 4\times log(4)$ $4\times 0.602 = \boxed {2.408}$ Simple logarithmic manipulation using the rule: $log(a^b) = b\times log(a)$

Me too, the same method

so log(4) = 0.602 then log (256) is also equal to log (4)^4

by properties of logarithm log(4)^4 can also be written as 4log(4)

then we input the value of log(4)=0.602 to 4log(4)

4(0.602) = 2.408 :)

Log (2)=0.301

log (256)=log(2)^8=8 log (2)=2.408