Question

wow, here we go again with old out of practice brain.

Answer 1

\[R^{1\beta}=2-\frac{R_{sys}}{R}\] apparently solves to :

\[\beta=1-\frac{\ln(2-\frac{R_{sys}}{R})}{\ln(R)}\] (I say apparently)

Answer 2

So there is a conversion rule I am vague on (less that apparently) using ln conversions. Can anyone give me a hint 1) of the rule here and 2) a web resource of like rules? Thanks in advanced.

Answer 3

Sorry, starting equation missing '-' so is:

\[R^{1-\beta}=2-\frac{R_{sys}}{R}\]

Answer 4

GAG! DOH! It clicked.

\[(1-\beta)\ln(R)=\ln(2-\frac{R_{sys}}{R})\]

so:

\[1-\beta=\frac{\ln(2-\frac{R_{sys}}{R})}{\ln(R)}\]

et cetera.

Can I give myself a prize for solving me own problem lol?