simplify 1-ln(1/2)

Solution

simplify

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

1 + ln (2)

Decimal Notation

1.69314 \dots

Solution steps

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

Apply log rule:

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

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

= 1 - (ln (1) - ln (2))

- (ln (1) - ln (2)) = ln (2)

= 1 + ln (2)

ln^{2} (\frac{1}{3}) - (ln (\frac{1}{3}))^{2}

- 2 ln (1 - x) + ln (x + 2)

ln (sin (x)) + ln (x + y)

13 ln (\frac{208}{3}) + 7 ln (80 - 0.75 \cdot \frac{208}{3})

ln (\frac{41}{10}) - \frac{1}{4}