The expression `((log_(a/b) p)^2+(log_(b/c) p)^2+(log_(c/a) p)^2)/((log_(a/b) p+log_(b/c) p+log_(c/a) p))^2,` wherever defined, simplifies to

The expression ((log_R((a)/b))^(3)+(log_(R)((b)/(c)))^(3)+(log _(R)((c)/(a)))^(3))/((log_(R)((a)/(b)))(log_(R)((b)/(c)))(log_(R)((c)/(a))))(a,b,c,Rgt0andRne1) wherever defined, simplifies to

The expression ((logR((a)/b)^(3))+(log_(R)((b)/(c)))^(3)+(log _(R)((c)/(a)))^(3))/((log_(R)((a)/(b)))(log_(R)((b)/(c)))(log_(R)((c)/(a))))(a,b,cRgt0andRne1) wherever defined, simplifies to

The value of x, satisfiying log_(a)(1+log_(b){1+log_(c)(1+log_(p)x)})=0 is

If log_(2)p + log_(8)p + log_(32)p =(46)/(5) , then p =

log_(a)b=2,log_(b)c=2 and log_(3)c=3+log_(3)a then (a+b+c)=?

If a, ,b c, are in G.P., then log_(a) n, log_(b) n, log_(c) n are in

The value of N satisfying log_(a)[1+log_(b){1+log_(c)(1+log_(p)N)}]=0 is