Question 7
Evaluate $\dfrac1{\log_{ab}(abc)}+\dfrac1{\log_{bc}(abc)}+\dfrac1{\log_{ac}(abc)}$.
Domain convention: all logarithms and their reciprocals must be defined over the reals. In particular, $ab,bc,ac$ are positive bases other than 1, and $abc$ is positive and different from 1.
Domain convention: all logarithms and their reciprocals must be defined over the reals. In particular, $ab,bc,ac$ are positive bases other than 1, and $abc$ is positive and different from 1.