Show that: `|log_ba+log_ab|ge2`

Show that log_(b)a log_(c)b log_(a)c=1

Show that log a+log(1/a)=0

The value of the determinant |{:(1,log_ba),(log_ab,1):}| is equal to

Show that the progression loga, log(ab) , log(ab^(2)),log(ab^(3)), …. is an AP. Find its general term and the 10th term.

If 3 leale2015,3leble2015 such that log_ab+6log_ba=5 , the number of ordered pairs (a,b) of integers is

4.Prove that log_(a)(bc).log_(b)(ca).log_(c)(ab)=2+log_(a)(bc)+log_(b)(ca)+log_(c)(ab)

(i) Show that (log9)/(2)+2log6+(log81)/(4)-log12=3log3

Show that 3log4-2log6+log(18)^((3)/(2))=log96sqrt(2)

Show that 3log4-2log6+log(18)^((3)/(2))=log96sqrt(2)