If A, B, C are the angles of ACUTE angled triangle.
tanA.tanB.tanC = tanA + tanB + tanC
log(tanA + tanB + tanC) = log(tanA) + log(tanB) + log(tanC)
yes, of course
log(a+b+c) = loga + logb + logc is possible when a+b+c=abc
Examples : (2 , 4 , 6/7) ; (3 , 4 , 7/11)
Generalization : (x , y , (x+y)/(xy-1))....for above expression to be valid you can pick any x & y keeping in mind all numbers in triplet are positive.
@ronnie what u hav written is more or less like log(a) = log(a) it is nothing to do with the ques the ques u have asked is about
if a+b+c = abc then log(a+b+c)=log(abc)
provided the satisfy the domain criteria of the function log(x)....................