Question

How to solve?
Inx - In 1/x = 2

Answer 1

x = e

Explanation:

`\text{The domain:}\\\\D:x>0\\\\\ln x-\ln(1)/(x)=2\qquad\text{use}\ \log_ab-\log_ac=\log_a\left((b)/(c)\right)\\\\\ln(x)/((1)/(x))=2\\\\\ln x^2=2\qquad\text{use}\ \log_ab=c\iff a^c=b\ \text{and}\ \ln x=\log_ex\\\\x^2=e^2\iff x=e\in D`