simplify ln(1/499)

Solution

simplify

ln (\frac{1}{499})

- ln (499)

Decimal Notation

- 6.21260 \dots

Solution steps

ln (\frac{1}{499})

Apply log rule:

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

ln (\frac{1}{499}) = ln (1) - ln (499)

= ln (1) - ln (499)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (499)

0 - ln (499) = - ln (499)

= - ln (499)

ln (17 e)

- lo g_{10} (4.6 \cdot 1 0^{- 5})

5 ln 1 0^{x} (2 x^{6} + 2)^{2} + 9 ln 7 x^{2} - 8

ln ∣ tan (3 x) + sec (3 x) ∣ + \frac{1}{3} ln ∣ cos (3 x) ∣ + C

lo g_{e} (\frac{3}{5})