Stuck for extracting M from log(M - A)

Logarithms problems.

Stuck for extracting M from log(M - A)

Postby Guest » Thu Apr 02, 2020 9:59 am

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
 

Re: Stuck for extracting M from log(M - A)

Postby Guest » Fri Apr 03, 2020 5:45 am

Silly me...

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

Re: Stuck for extracting M from log(M - A)

Postby HallsofIvy » Mon Jun 29, 2020 7:08 pm

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].

HallsofIvy
 
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