Answer
-2.8896
Work Step by Step
We know that logarithms with base $e$ are natural logarithms, and $ln(x)$ can be written as $log_{e}x$.
Therefore, $ln(0.0556)=log_{e}0.0556$.
We know that for all positive numbers $a$ (where $a\ne1$), and all positive numbers $x$, $y=log_{a}x$ means the same as $x=a^{y}$.
Therefore, $log_{e}0.0556\approx-2.8896$, because $e^{-2.8896}\approx0.0556$.