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Popular >

simplify ln(sqrt(e^7))

Solution

simplify

ln (e^{7})

Solution

\frac{7}{2}

+1

Decimal Notation

3.5

Solution steps

ln (e^{7})

Rewrite as

= ln ((e^{7})^{\frac{1}{2}})

Apply log rule

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

assuming

x \geq 0

= \frac{1}{2} ln (e^{7})

Simplify

ln (e^{7}) : 7

= 7 \cdot \frac{1}{2}

Simplify

= \frac{7}{2}

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Frequently Asked Questions (FAQ)

What is ln(sqrt(e^7)) ?
The solution to ln(sqrt(e^7)) is 7/2