# Understanding Euler’s Identity and Natural Logs

The mathematical models of plant growth are extremely complex. As farmers, We spend a good deal of time looking at growth rates of plants over time, the decay of certain elemental components in soils, rise of microbial populations, and countless other biological growth and decay models.

The most powerful tool at the farmers disposal to use in making informed decisions is the Natural log or $\displaystyle{e^x}$.

# Ash as a soil amendment

Fire ecology is the study of fire and specific ecosystems. Many plant species require fire in order to germinate or reproduce. Fire is an essential part of the ecosystem in coniferous forests, savannahs, and many other regions. There is another benefit to these regions other than regeneration. That is the impact of the ash on the soil. The ash benefits the soil with added nutrients, it buffers the pH of the soil, and it increases the population of soil microbes. Continue reading