Question

e^x / 1 - e^x = 2 find the x

Answer 1

\[\frac{e^x}{1-e^x}=2\]
\[2-2e^x=e^x \]
\[2=3e^x\]
\[\ln 2=\ln 3e^x\]
\[\ln 2=\ln 3+\ln e^x\]
\[\ln 2-\ln 3=x \ln e=x\]