Best approximation of log 3? – math.stackexchange.com

For $0 \lt x \leq 2$, I can approximate $\log{x}$ using Taylor series. How to do so when $2\lt x$? My attempt is that: approximate $\log{c}$, where $1\lt c\lt 2$. find $n \in \mathbb{N}$ such that ...

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