Can someone help me solve ln(x)-ln(x+1)=ln(x+3)-ln(x+5)

Question

anonymous · Answer

are you trying to solve for x?

anonymous · Answer

I believe so. The instructions just say solve giving exact solution

jennychan12 · Answer

properties of natural logs.
ln(x(x+1)) = lnI(x+5)(x+3) 
go from there.

anonymous · Answer

- means division

anonymous · Answer

$$\ln(\frac{ x }{ x+1 }) = \ln(\frac{ x+3 }{ x+5 })$$

jennychan12 · Answer

oh whoops sorry. i haven't done alg 2 in years!

anonymous · Answer

yeah see that's what I thought it was too Veritas, but then there I got stuck

anonymous · Answer

no problem. Yeah I'm trying to see how this would even help to solve the equation though.

jennychan12 · Answer

take e of both sides to cancel out the ln's

anonymous · Answer

no this is the natural log

anonymous · Answer

Ignore that lat bit from me. :)

anonymous · Answer

yeah I think Jenny's answer is the way to solve.

anonymous · Answer

ok I'm gonna try and solve now

anonymous · Answer

$$e(\ln (\frac{ x }{ x+1 }))=e(\ln(\frac{ x+3 }{ x+5 }))$$

anonymous · Answer

and those e's should be raised to the power of the natural logs