Question

Solve for y:
x=ln(ln(lny))

Answer 1

if x = ln y
what is y? well, y = e^x

So if
x = Ln(ln y), what is y?

and then what if
x = ln(ln(ln y)) ?

Answer 2

Not sure I follow your logic. I was going to take e to both sides
ie
\[e ^{x}=e ^{\ln(\ln(lny))}\]
\[e ^{x}=\ln(lny)\]

Answer 3

y = e^e^e^{ln(ln(ln(x))]

Answer 4

@jimmy: no, not right.

Answer 5

If
x = ln y
then take the exp of both sides:
exp(x) = exp(ln(y)) = y

i.e., y = e^x

Answer 6

So if x = ln(ln(y))
take the exp of both sides once and see what you get. So now take it again.