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Question Number 4653 by FilupSmith last updated on 18/Feb/16
Silly question  which is correct???    ln((n/(ab)))=ln(n)−ln(ab)=ln(n)−ln(a)+ln(b)  or  ln((n/(ab)))=ln(n)−ln(ab)=ln(n)−ln(a)−ln(b)
$$\mathrm{Silly}\:\mathrm{question} \\ $$$${which}\:{is}\:{correct}??? \\ $$$$ \\ $$$$\mathrm{ln}\left(\frac{{n}}{{ab}}\right)=\mathrm{ln}\left({n}\right)−\mathrm{ln}\left({ab}\right)=\mathrm{ln}\left({n}\right)−\mathrm{ln}\left({a}\right)+\mathrm{ln}\left({b}\right) \\ $$$${or} \\ $$$$\mathrm{ln}\left(\frac{{n}}{{ab}}\right)=\mathrm{ln}\left({n}\right)−\mathrm{ln}\left({ab}\right)=\mathrm{ln}\left({n}\right)−\mathrm{ln}\left({a}\right)−\mathrm{ln}\left({b}\right) \\ $$
Answered by 123456 last updated on 18/Feb/16
ln (n/(ab))=ln n−ln ab            =ln n−(ln a+ln b)            =ln n−ln a−ln b
$$\mathrm{ln}\:\frac{{n}}{{ab}}=\mathrm{ln}\:{n}−\mathrm{ln}\:{ab} \\ $$$$\:\:\:\:\:\:\:\:\:\:=\mathrm{ln}\:{n}−\left(\mathrm{ln}\:{a}+\mathrm{ln}\:{b}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:=\mathrm{ln}\:{n}−\mathrm{ln}\:{a}−\mathrm{ln}\:{b} \\ $$
Commented by FilupSmith last updated on 19/Feb/16
Thought so! Thanks!
$$\mathrm{Thought}\:\mathrm{so}!\:\mathrm{Thanks}! \\ $$

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