6. loga^m=logb^mloga^b prove

If a ,b ,c are in G.P., then prove that loga^n ,logb^n ,logc^n are in A.P.

If log_a a. log_c a +log_c b. log_a b + log_a c. log_b c=3 (where a, b, c are different positive real nu then find the value of a bc.

The value of loga b-log|b|= loga (b) "log"|a| (c) -loga (d) none of these

If a ,\ b ,\ c are in G.P. prove that loga ,\ logb ,\ logc are in A.P.

If log(2a-3b)=loga-logb, then a=

If loga=1/2 logb=1/5logc then a^4b^3c^(-2)=

Prove that: log_a x=log_bx xx log_c b xx…xx log_n m xx log_a n

Show that the sequence loga ,log(a b),log(a b^2),log(a b^3), is an A.P. Find the nth term.

Show that the sequence loga ,log(a b),log(a b^2),log(a b^3), is an A.P. Find its nth term.

Show that the sequence loga ,log(a b),log(a b^2),log(a b^3), is an A.P. Find its nth term.