simplify ln(1/2)-1

Solution

simplify

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

- ln (2) - 1

Decimal Notation

- 1.69314 \dots

Solution steps

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

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)

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

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (2) - 1

Subtract the numbers:

0 - 1 = - 1

= - ln (2) - 1

\frac{1}{2} ln (17.6 + 1) + 2 ln (8.8 - 1) + C

lo g_{10} (- 1 - i) - lo g_{10} (i)

2 ln (7) - 3 ln (2) + 2 ln (5)

ln^{2} (x) + 2 ln (x) + 1

ln (5 e^{- 10 k})