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Popular >

simplify ln(sqrt(e)^3)

Solution

simplify

ln (e^{3})

Solution

\frac{3}{2}

+1

Decimal Notation

1.5

Solution steps

ln ((e)^{3})

(e)^{3} = e^{\frac{3}{2}}

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

Apply log rule

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

assuming

x \geq 0

= \frac{3}{2} ln (e)

Apply log rule:

lo g_{a} (a) = 1

= \frac{3}{2}

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27.3 x^{2} - 100 x = 148000

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Frequently Asked Questions (FAQ)

What is ln(sqrt(e)^3) ?
The solution to ln(sqrt(e)^3) is 3/2