" hrethat "(log_(a)(log_(b)a))/(log_(b)(log_(a)b))=-log_(a)b

Prove that: (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

(1+log_(c)a)log_(a)x*log_(b)c=log_(b)x log_(a)x

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

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

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

4.Prove that log_(a)(bc).log_(b)(ca).log_(c)(ab)=2+log_(a)(bc)+log_(b)(ca)+log_(c)(ab)

If a > 0, c > 0, b = sqrt(ac), ac != 1 and N > 0 , then prove that (log_(a)N)/(log_(c )N) = (log_(a)N - log_(b)N)/(log_(b)N - log_(c )N) .