Stuck for extracting M from log(M - A)

[Guest]

Hi,

Here's a not too complex transformation but my skills stop here...
First, I've made this formula:

[tex]K = \frac{log(0.5)}{log\frac{M - S}{E - S}}[/tex]

Now I transformed it because I want [tex]M[/tex], and [tex]K[/tex] is known:

[tex]=> \frac{log(0.5)}{K} = log\frac{M - S}{E - S}[/tex]

[tex]=> \frac{log(0.5)}{K} = log(M - S) - log(E - S)[/tex]

[tex]=> \frac{log(0.5)}{K} + log(E - S) = log(M - S)[/tex]

So here I am stuck, I don't know how to extract [tex]M[/tex] from [tex]log(M - S)[/tex]

Many thanks to all for your help
Greg

[Guest]

Silly me...

[tex]=> M = 10^{((\frac{log(0.5)}{K} + log(E−S)) + S)}[/tex]

[HallsofIvy]

That's still a bit silly!

From [tex]log(M- S)= \frac{log(0.5)}{k}+ log(E- S)[/tex]
[tex]log(M-S)= log(0.5^{1/k}(E- S)[/tex].
so [tex]M- S= 0.5^{1/k}(E- S)[/tex]

[tex]M= S+ 0.5^{1/k}(E- S)[/tex].