Question

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

Answer 1

are you trying to solve for x?

Answer 2

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

Answer 3

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

Answer 4

- means division

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

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

Answer 10

no this is the natural log

Answer 11

Ignore that lat bit from me. :)

Answer 12

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

Answer 13

ok I'm gonna try and solve now

Answer 14

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

Answer 15

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