simplify ln(2/e)+1

Solution

simplify

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

ln (2)

Decimal Notation

0.69314 \dots

Solution steps

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

Apply log rule:

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

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

= ln (2) - ln (e) + 1

Apply log rule:

lo g_{a} (a) = 1

= ln (2) - 1 + 1

- 1 + 1 = 0

= ln (2)

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