If `a,b in(0,1)` ,then minimum value of `log_(a)(ab)-log_(b)((b)/(a))` is

The value of a(log_(b)(log_(b)x))/(log_(b)a) is

If a>1,b>1, then the minimum value of log_(b)a+log_(a)b is

The value of (log_(a)(log_(b)a))/(log_(b)(log_(a)b)) is

The value of log ab- log|b|=

The value of (log_(a)(x))/(log_(ab)x)-log_(a)b

The value of a^((log_b(log_bx))/(log_b a)), is

If a,b,c,d in R^(+)-{1} , then the minimum value of log_(d) a+ log_(c)b+log _(a)c+log_(b)d is

If a,b,c,d in R^(+-){1}, then the minimum value of (log)_(d)a+(log)_(b)d+(log)_(a)c+(log)_(c)b is (a)4(b)2(c)1( d) none of these

If agt1,bgt1,cgt1,dgt1 then the minimum value of log_(b)a+log_(a)b+log_(d)c+log_(c)d , is