Math Is Fun Forum

TomHawk

Member

Registered: 2007-10-16

Posts: 4

ln A = ln h - ln(1 - h); Solve for h

I think I posted this inquiry on the wrong board earlier.

I need help with this problem.  I have the correct answer, I just don't know how to get the correct answer.

Correct answer: h = A / (A + 1)

I would appreciate it if someone could explain the process of solving this type of problem.

Thanks,
Tom 

luca-deltodesco

Member

Registered: 2006-05-05

Posts: 1,470

Re: ln A = ln h - ln(1 - h); Solve for h

laws of logarithms: these hold for all real a,b > 0

we also have:

you can also see this as taking exponential of each side

so using them, we can convert the right hand of equation into a single logarithm

then

and then rearranging

Last edited by luca-deltodesco (2007-10-16 09:58:30)

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TomHawk

Member

Registered: 2007-10-16

Posts: 4

Re: ln A = ln h - ln(1 - h); Solve for h

Thank you for your quick reply.  I'm still not too sure of how this works, but let me study it for a bit and I think it will start making sense.

Again, thank you.
Tom