Logarithms: og(base e)log(base e)log(base e)x is defined for x belongs to?
- Thread starter ankitpaul
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D
Deleted member 4993
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What does "belongs to" mean in this context?
I mean whats the interval?
D
Deleted member 4993
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What is the domain of y = ln(x)?
pka
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Note that \(\displaystyle \log(x)\) is understood mean the natural logarithm (base e).
Also note that \(\displaystyle \log_b(x)\) is defined only if \(\displaystyle b>0~\&~x>0\).
Thus in order for \(\displaystyle \log\{\log[\log(x)]\}\) to be defined it is necessary for \(\displaystyle \log[\log(x)]>0\)
\(\displaystyle \begin{align*} \log(x)&>0\\e^{\log(x)}&>e^0\\x&>1\end{align*}\)
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