[tex]\bf \textit{logarithm of factors}\\\\
log_a(xy)\implies log_a(x)+log_a(y)\\\\
-------------------------------\\\\
log_3(u)+log_3(v)+log_3(w)\implies [log_3(u)+log_3(v)]+log_3(w)
\\\\\\\
[log_3(u\cdot v)]+log_3(w)\implies log_3(u\cdot v\cdot w)\implies log_3(uvw)[/tex]