Question

Determinati partea intreaga a fiecaruia dintre urm nr:
Log baza 2 din 2012 si log baza10din 2012 va rog ajutati-ma

Answer 1

$\displaystyle 1).[log_22012]=? \\ log_21024 \leq log_22012 \leq log_22048 \\ log_22^{10} \leq log_22012 \leq log_22^{11} \\ 10log_22 \leq log_22012 \leq 11log_22 \\ 10 \leq log _22012 \leq 11 \\ \ [log_22012]=10 \\ 2).[log_{10}2012]=? \\ log_{10}1000 \leq log_{10}2012 \leq log_{10}10000 \\ log_{10}10^3 \leq log_{10}2012 \leq log_{10}10^4 \\ 3log_{10}10 \leq log_{10}2012 \leq 4log_{10}10 \\ 3 \leq log_{10}2012 \leq 4 \\ \ [log_{10}2012]=3$