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Popular >

simplify ln(4/(sqrt(e)))

Solution

simplify

ln (\frac{4}{e})

Solution

2 ln (2) - \frac{1}{2}

+1

Decimal Notation

0.88629 \dots

Solution steps

ln (\frac{4}{e})

Apply log rule:

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

ln (\frac{4}{e}) = ln (4) - ln (e)

= ln (4) - ln (e)

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

= ln (4) - \frac{1}{2}

ln (4) = 2 ln (2)

= 2 ln (2) - \frac{1}{2}

Popular Examples

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lo g_{4} (4 x^{2})

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\frac{1}{3} \cdot lo g_{4} (8) + lo g_{4} (15)

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2 lo g_{b} (x) + 7 lo g_{b} (z)

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Frequently Asked Questions (FAQ)

What is ln(4/(sqrt(e))) ?
The solution to ln(4/(sqrt(e))) is 2ln(2)-1/2