# How do you solve ln(lnx) = 1?

Jul 4, 2015

I found: $x = {e}^{e} = 15.154$

#### Explanation:

You can use the definition of logarithm:
${\log}_{a} x = b \to x = {a}^{b}$
and the fact that $\ln = {\log}_{e}$
where $e = 2.71828 \ldots$:
we can write:
$\ln \left(\ln \left(x\right)\right) = 1$
$\ln \left(x\right) = {e}^{1}$
$x = {e}^{e} = 15.154$