(log_(a)(log b^(a)))/(log_(b)(log_(a)b))=-log_(a)b

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

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

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

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

a^(log_(b)c)=c^(log_(b)a)

If a,b,c be three such positive numbers (none of them is 1) that (log_(b)a log_(c )a-log_(a)a) + (log_(a)b log_(c )b-log_(b)b) + (log_(a)c log_(b)c-log_(c )c) = 0 , the prove that abc = 1.

If a,b,c are distinct real number different from 1 such that (log_(b)a. log_(c)a-log_(a)a) + (log_(a)b.log_(c)b-log_(b)b) +(log_(a)c.log_(b)c-log_(c)C)=0 , then abc is equal to

If a, b, c are distinct positive numbers each being different from 1 such that (log_(b)a.log_(c)a-log_(a)a)+(log_(a)b.log_(c)b-log_(b)b) +(log_(a)c.log_(b)c-log_(c)c)=0 , then abc is a)0 b)e c)1 d)2

If a,b,c are distinct positive real numbers each different from unity such that (log_(a)a.log_(c)a-log_(a)a)+(log_(a)b*log_(c)b-log b_(b))+(log_(a)c.log_(a)c-log_(c)c)=0 then prove that abc=1

If a,b,c gt1 then Delta=|(log_(a)(abc),log_(a)b,log_(a)c),(log_b(abc),1,log_(b)c),(log_(c)(abc),log_(c)b,1)| equals