simplify ln(1/240)

Solution

simplify

ln (\frac{1}{240})

- ln (240)

Decimal Notation

- 5.48063 \dots

Solution steps

ln (\frac{1}{240})

Apply log rule:

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

ln (\frac{1}{240}) = ln (1) - ln (240)

= ln (1) - ln (240)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (240)

0 - ln (240) = - ln (240)

= - ln (240)

lo g_{e} (\frac{- 23}{- 41})

x + ln (x) + ln (4)

ln (4 x) + ln (6)

\frac{1}{2} (ln (a) + ln (b))

ln (y + 1) + ln (x)