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Popular >

simplify ln((e^3)^{1/2})

Solution

simplify

ln ((e^{3})^{\frac{1}{2}})

Solution

\frac{3}{2}

+1

Decimal Notation

1.5

Solution steps

ln ((e^{3})^{\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^{3})

Simplify

ln (e^{3}) : 3

= 3 \cdot \frac{1}{2}

Simplify

= \frac{3}{2}

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Frequently Asked Questions (FAQ)

What is ln((e^3)^{1/2}) ?
The solution to ln((e^3)^{1/2}) is 3/2