`2(loga+loga^2+loga^3+loga^4+................+loga^n)` 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 a_1,a_2,a_3,.....a_n.... are in G.P. then the determinant Delta=|[loga_n,loga_(n+1),loga_(n+2)],[loga_(n+3),loga_(n+4),loga_(n+5)],[loga_(n+6),loga_(n+7),loga_(n+8)]| is equal to- (A) -2 (B) 1 (C) -1 (D) 0

If 10^(log_a(log_b(log_c x)))=1 and 10^((log_b(log_c(log_a x)))=1 then, a is equal to

Suppose a,b,cgt1 . Let Delta=|(loga,logb,logc),(log(2007a),log(2007b),log(2007c)),(log(2017a),log(2017b),log(2017c))| then Delta is equal to