simplify ln(1/999)

Solution

simplify

ln (\frac{1}{999})

- ln (999)

Solution steps

ln (\frac{1}{999})

Apply log rule:

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

ln (\frac{1}{999}) = ln (1) - ln (999)

= ln (1) - ln (999)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (999)

0 - ln (999) = - ln (999)

= - ln (999)

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

- lo g_{10} (1.4 (1 0^{- 5}))

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- ln (x^{\frac{1}{x}}) + ln (c)