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Popular >

simplify ln(\sqrt[9]{e})

Solution

simplify

Solution

\frac{1}{9}

+1

Decimal Notation

0.11111 \dots

Solution steps

Rewrite as

= ln (e^{\frac{1}{9}})

Apply log rule

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

assuming

x \geq 0

= \frac{1}{9} ln (e)

Apply log rule:

lo g_{a} (a) = 1

= \frac{1}{9}

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Frequently Asked Questions (FAQ)

What is ln(\sqrt[9]{e}) ?
The solution to ln(\sqrt[9]{e}) is 1/9