Question

how do i find a domain for y=ln(ln(x))

Answer 1

\(\mathbb{R}\) for x≥1
look at the graph for ln(ln(x)) if you're still confused as to why.

Answer 2

thank you:) but i would like to know how to do it algebraically?
does this work? (this is what i did)

ln(x)>0
x>e^0
therefore, x>1

is this mathematically correct?

Answer 3

Yes. What you did is ok. you determined what values of the inner functions belong to the domains of the outer functions.

Answer 4

thank you!