125k views
2 votes
How to solve?
Inx - In 1/x = 2

1 Answer

4 votes

Answer:

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

User Amiri Houssem
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