Logarithms: og(base e)log(base e)log(base e)x is defined for x belongs to?

[ankitpaul]

log(base e)log(base e)log(base e)x is defined for x belongs to?What is the interval?

 

[Deleted member 4993]

log(base e)log(base e)log(base e)x is defined for x belongs to?

What does "belongs to" mean in this context?

 

[ankitpaul]

What does "belongs to" mean in this context?

I mean whats the interval?

 

[Deleted member 4993]

log(base e)log(base e)log(base e)x is defined for x belongs to?What is the interval?

What is the domain of y = ln(x)?

 

[pka]

log(base e)log(base e)log(base e)x is defined for x belongs to?What is the interval?

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 $\displaystyle \log[\log(x)]>0$

\(\displaystyle \begin{align*} \log(x)&>0\\e^{\log(x)}&>e^0\\x&>1\end{align*}\)

You must tell us your answer so we can check it and help you.