# How do you solve Ln (Ln(Ln x)) = 0?

Nov 29, 2016

As $y = {e}^{x}$ is a single valued function defined everywhere on the real axis $a = b \iff {e}^{a} = {e}^{b}$ for every real $a , b$.

#### Explanation:

$\ln \left(\ln \left(\ln x\right)\right) = 0 \iff {e}^{\ln \left(\ln \left(\ln x\right)\right)} = {e}^{0}$

or:

ln(lnx)) = 1

and similarly:

$\ln \left(x\right) = e$

$x = {e}^{e}$