`log((a^3*b^3)/c^3)+log((b^3*c^3)/d^3)+log((c^3*d^3)/a^3)-3log(b^2c)`

log((a^(3)*b^(3))/(c^(3)))+log((b^(3)*c^(3))/(d^(3)))+log((c^(3)*d^(3))/(a^(3)))-3log(b^(2)c)

The expression ((log_R((a)/b))^(3)+(log_(R)((b)/(c)))^(3)+(log _(R)((c)/(a)))^(3))/((log_(R)((a)/(b)))(log_(R)((b)/(c)))(log_(R)((c)/(a))))(a,b,c,Rgt0andRne1) wherever defined, simplifies to

The coefficient of x^(3) in the expansion of 3^(x) is : a) ( 3^(3))/(6) b) ((log3)^(3))/(3) c) ( log(3^(3))/(6)) d) ((log3)^(3))/(6)

log_(b)(a^((1)/(2)))*log_(c)b^(3)*log_(a)(c^((2)/(3))) is equal to

If log_(a)b+log_(b)c+log_(c)a vanishes where a, b and c are positive reals different from unity then the value of (log_(a)b)^(3) + (log_(b)c)^(3) + (log_(c)a)^(3) is

If log_(a)b+log_(b)c+log_(c)a vanishes where a, b and c are positive reals different than unity then the value of (log_(a)b)^(3) + (log_(b)c)^(3) + (log_(c)a)^(3) is

If log_(a)b+log_(b)c+log_(c)a vanishes where a, b and c are positive reals different than unity then the value of (log_(a)b)^(3) + (log_(b)c)^(3) + (log_(c)a)^(3) is

If log_(a)b+log_(b)c+log_(c)a vanishes where a, b and c are positive reals different than unity then the value of (log_(a)b)^(3) + (log_(b)c)^(3) + (log_(c)a)^(3) is

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