If `(log)_a b=2,(log)_b c=2,a n d(log)_3c=3+(log)_3a ,` then the value of `c//(a b)` is............

The x , y , z are positive real numbers such that (log)_(2x)z=3,(log)_(5y)z=6,a n d(log)_(x y)z=2/3, then the value of (1/(2z)) is ............

If log_(b) n = 2 and log_(n) 2b = 2 , then find the value of b.

If (log)_a3=2 and (log)_b8=3 , then prove that (log)_a b=(log)_3 4.

Let a , b , c , d be positive integers such that (log)_a b=3/2a n d(log)_c d=5/4dot If (a-c)=9, then find the value of (b-d)dot

If (a+(log)_4 3)/(a+(log)_2 3)=(a+(log)_8 3)/(a+(log)_4 3)=b ,then b is equal to 1/2 (2) 2/3 (c) 1/3 (d) 3/2

Given that log_2 3 = a, log_3 5=b,log_7 2=c ,then the value of log_(140) 63 is equal to

If log_(10) sin x+log_(10)cos x=-1 and log_(10)(sinx+cosx)=(log_(10)n-1)/2 then the value of n is (a) 24 (b) 36 (c) 20 (d) 12_

Suppose that a and b are positive real numbers such that log_(27)a+log_9(b)=7/2 and log_(27)b+log_9a=2/3 .Then the value of the ab equals

Simplify: 1/(1+(log)_a b c)+1/(1+(log)_b c a)+1/(1+(log)_c a b)

If (log)_3 2,(log)_3(2^x-5)a n d(log)_3(2^x-7/2) are in arithmetic progression, determine the value of xdot