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Popular >

simplify ln(e/(e+1))-ln(1/2)

Solution

simplify

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

Solution

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

+1

Decimal Notation

0.37988 \dots

Solution steps

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

Apply log rule:

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

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

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

\frac{\frac{e}{e + 1}}{\frac{1}{2}} = \frac{2 e}{e + 1}

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

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Frequently Asked Questions (FAQ)

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