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Popular >

simplify ln(\sqrt[7]{e^5})

Solution

simplify

Solution

\frac{5}{7}

+1

Decimal Notation

0.71428 \dots

Solution steps

Rewrite as

= ln ((e^{5})^{\frac{1}{7}})

Apply log rule

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

assuming

x \geq 0

= \frac{1}{7} ln (e^{5})

Simplify

ln (e^{5}) : 5

= 5 \cdot \frac{1}{7}

Simplify

= \frac{5}{7}

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Frequently Asked Questions (FAQ)

What is ln(\sqrt[7]{e^5}) ?
The solution to ln(\sqrt[7]{e^5}) is 5/7