For positive numbers `a,k, T` and `S` where neither `a` nor `S`equals unity, if `(log_s a) (a^(log_a k) ) = 1-log_s a * log_a T`then `S` equals to

if log_(k)x*log_(5)k=log_(x)5 then xis equal to

if log_(k)x*log_(5)k=log_(x)5 then xis equal to

The number of real solution(s) of the equation 9^(log_(3)(log_(e )x))=log_(e )x-(log_(e )x)^(2)+1 is equal to

The number of real solution(s) of the equation 9^(log_(3)(log_(e )x))=log_(e )x-(log_(e )x)^(2)+1 is equal to

The number of real solution(s) of the equation 9^(log_(3)(log_(e )x))=log_(e )x-(log_(e )x)^(2)+1 is equal to

If (log)_k xdot(log)_5k=(log)_x5,k!=1,k >0, then x is equal to

If x=log_(k)b=log_(b)c=(1)/(2)log_(c)d, then log_(k)d is equal to

Let a,b" and "c are distinct positive numbers,none of them is equal to unity such that log _(b)a .log_(c)a+log_(a)b*log_(c)b+log_(a)c*log_(b)c-log_(b)a sqrt(a)*log_(sqrt(c))b^(1/3)*log_(a)c^(3)=0, then the value of abc is -