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Popular >

simplify ln(3/(sqrt(e^3)))

Solution

simplify

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

Solution

ln (3) - \frac{3}{2}

+1

Decimal Notation

- 0.40138 \dots

Solution steps

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

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

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

= ln (3) - ln (e^{3})

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

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

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Frequently Asked Questions (FAQ)

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