Question

ln(x + 4) − ln(x) = 2

Answer 1

\[\ln(\frac{x+4}{x})=2\]
\[\frac{x+4}{x}=e^2\]
\[x+4=e^2x\]
\[4=e^2x-x\]
\[4=(e^2-1)x\]
\[x=\frac{4}{e^2-1}\]