simplify ln(2/1)

Solution

simplify

ln (\frac{2}{1})

ln (2)

Decimal

0.69314 \dots

Solution steps

ln (\frac{2}{1})

Apply log rule:

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

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

= ln (2) - ln (1)

Apply log rule:

lo g_{a} (1) = 0

= ln (2) - 0

ln (2) - 0 = ln (2)

= ln (2)

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