I have a value computed as sum of powers, e.g. $x^5+y^8+z^2$.
The exponent represents the weight for variables, $x, y$ and $z$ in the example above.
Applying natural logarithm on $x^5+y^8+z^2$, I get a graph that more accurately describes what I'm looking for.
What I need help with is understanding why that is: why applying the natural logarithm helps. Or should it be done differently?