[" The minimum value of 'c' "],[" such that "log_(b)(a^(log_(3)b))=log_(a)(b^(" los ",b))" and "],[log_(a)(c-(b-a)^(2))=3," where "a,b in N" is: "]

The minimum value of 'c' such that log_(b)(a^(log_(2)b))=log_(a)(b^(log_(2)b)) and log_(a) (c-(b-a)^(2))=3 , where a, b in N is :

The minimum value of 'c' such that log_(b)(a^(log_(2)b))=log_(a)(b^(log_(2)b)) and log_(a) (c-(b-a)^(2))=3 , where a, b in N is :

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

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

Prove that log_(b^3)a xx log_(c^3)b xx log_(a^3)c = 1/27

If log_(a)b=1/2,log_(b)c=1/3" and "log_(c)a=(K)/(5) , then the value of K is

Find the value of log_(b)^(x)*log_(c)^(b)*log_(d)^(c)dots...log_(n)^(m)*log_(a)^(n)

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 log_(8)a+log_(8)b=(log_(8)a)(log_(8)b) and log_(a)b=3 then the value of 'a' is