Question

Will give medal and fan.
Solve for x:
ln(x+9)-ln(x)=1

Answer 1

I dont understand this 1 soz

Answer 2

Oops,
ln(x+9)-ln(x)=1

Answer 3

property of logs
\[\log a - \log b = \log (\frac{a}{b})\]

Answer 4

ln(x+9/x)=1

Answer 5

ln(x+9)-ln(x)=1
ln((x+9)/x)=1 (Log Laws)
(x+9)/x=e
x+9=ex
9=(e-1)x
x=9/(e-1)

Answer 6

How did you get from x+9=ex
to
9=(e-1)x

Answer 7

x+9=ex bring the x to the other side
9=ex-x factor out the x
9=(e-1)*x