simplify ln(1/120)

Solution

simplify

ln (\frac{1}{120})

- ln (120)

Decimal Notation

- 4.78749 \dots

Solution steps

ln (\frac{1}{120})

Apply log rule:

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

ln (\frac{1}{120}) = ln (1) - ln (120)

= ln (1) - ln (120)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (120)

0 - ln (120) = - ln (120)

= - ln (120)

ln (\frac{1421}{1431})

lo g_{9} (x e^{x})

ln (\frac{21}{100})

\frac{3}{2} lo g_{10} (9 x^{4})

0.462 - \frac{0.0592}{2} lo g_{10} (\frac{0.02}{0.2})