# Logarithm Calculation

It was part of my graph theory homework solution. The topic was about random graphs. I have difficulty understanding one step about log calculation. Hope someone could help me answer this: $\frac{\log(1-\frac{c\log n}{n})}{-\frac{c\log n}{n}}\cdot\frac{-c\log n}{n}(n-1)=\log n^{-(1+o(1))c}$. Here in this problem, the $o(1)$ notation is in terms of $n$.

Appreciate if you could answer it!

• It is called "o" notation. Google it up! – Simply Beautiful Art Dec 11 '16 at 22:22
• that "o" notation I know. my problem is about the log calculation. – adosdeci Dec 11 '16 at 22:23
• You could take the exponent out of the RHS using logarithmic rules. – Simply Beautiful Art Dec 11 '16 at 22:27