prove that`log_a(log_ba)/(log_b(log_ab)`=-`log_a b`

Prove that: (log_a(log_ba))/(log_b(log_ab))=-log_ab

Prove that ((log)_a N)/((log)_(a b)N)=1+(log)_a b

Let agt0,cgt0,b=sqrtac,a,c and acne1,Ngt0 . Prove that log_aN/log_cN=(log_aN-log_bN)/(log_bN-log_cN)

Q. If log_x a, a^(x/2) and log_b x are in G.P. then x is equal to (1) log_a(log_b a) (2) log_a(log_e a)+log_a log_b b (3) -log_a(log_a b) (4) none of these

Prove that log_2log_2log_(2) 16 =1

If a, b, c are distinct positive real numbers each different from unity such that (log_b a.log_c a -log_a a) + (log_a b.log_c b-logb_ b) + (log_a c.log_b c - log_c c) = 0, then prove that abc = 1.

Prove that asqrt(log_a b)-bsqrt(log_b a)=0

The value of ("log"_(a)("log"_(b)a))/("log"_(b)("log"_(a)b)) , is

If a ,\ b ,\ c are in G.P. prove that 1/((log)_a m),1/((log)_b m),1/((log)_c m) are in A.P.

Show that: |log_ba+log_ab|ge2