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Popular >

simplify ln(e^{1/x})

Solution

simplify

ln (e^{\frac{1}{x}})

Solution

\frac{1}{x}

Solution steps

ln (e^{\frac{1}{x}})

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x),

assuming

x \geq 0

= ln (e) \frac{1}{x}

Apply log rule:

lo g_{a} (a) = 1

= \frac{1}{x}

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Frequently Asked Questions (FAQ)

What is ln(e^{1/x}) ?
The solution to ln(e^{1/x}) is 1/x