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Andru [333]
3 years ago
11

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

Mathematics
1 answer:
zimovet [89]3 years ago
8 0

Answer:

<h2>x = e</h2>

Step-by-step explanation:

\text{The domain:}\\\\D:x>0\\\\\ln x-\ln\dfrac{1}{x}=2\qquad\text{use}\ \log_ab-\log_ac=\log_a\left(\dfrac{b}{c}\right)\\\\\ln\dfrac{x}{\frac{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

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