log_(a)b=log_(c)b times log_(a)c

If log_(b) a. log_(c ) a + log_(a) b. log_(c ) b + log_(a) c. log_(b) c = 3 (where a, b, c are different positive real number ne 1 ), then find the value of a b c.

Evaluate : (i) log_(b)a xx log_(c)b xx log_(a)c (ii) log_(3) 8 div log_(9) 16 (iii) (log_(5)8)/(log_(25)16 xx log_(100)10)

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.

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 -

If x,y,z are in G.P.and a^(x)=b^(y)=c^(z), then (a) log ba=log_(a)c(b)log_(c)b=log_(a)c(c)log_(b)a=log_(c)b(d) none of these

If x,y,z are in G.P.nad a^(x)=b^(y)=c^(z), then log_(b)a=log_(a)c b.log_(c)b=log_(a)c c.log_(b)a=log_(c)b d.none of these

log_(a)b = log_(b)c = log_(c)a, then a, b and c are such that

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_(c)b-log_(b)b) +(log_(a)c.log_(b)c-log_(c)C)=0 , then abc is equal to