How do I prove $\log_a abc + \log_b abc + \log_c abc = 1$

Question

Please how do I prove this

1/log_a abc + 1/log_b abc + 1/log_c abc = 1

Answer 1

Note that $\log_x y = \frac{\ln y}{\ln x}$ and $\ln(xy)=\ln x + \ln y$. Applying those two properties will give you what you want.