> For the complete documentation index, see [llms.txt](https://stephanosterburg.gitbook.io/scrapbook/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://stephanosterburg.gitbook.io/scrapbook/math/math-notes/extras.md).

# extras

$$\frac {1}{3^{-2}} => 3^2 == 9$$ and $$\frac {1}{3^{-1}} => 3^1 == 3$$

In both cases the minus is cancelling it out

If you have $$\log(10) = 1.5d$$, this becomes $$\frac{\log(10)}{1.5}=d$$

If you have $$log(10) = 0.1d$$, this becomes $$10\log(10) = d$$

if you have $$log(10)=\frac{d}{2}$$, this becomes $$2\log(10)=d$$