simplify ln(21/100)

Solution

simplify

ln (\frac{21}{100})

ln (21) - 2 ln (10)

Decimal Notation

- 1.56064 \dots

Solution steps

ln (\frac{21}{100})

Apply log rule:

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

ln (\frac{21}{100}) = ln (21) - ln (100)

= ln (21) - ln (100)

ln (100) = 2 ln (10)

= ln (21) - 2 ln (10)

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

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

ln (\frac{( x ^{2} - 1 )}{x ^{3}})

ln (\frac{1}{θ} \cdot e^{- \frac{1}{θ} \cdot x})

ln (\frac{- 4}{1 + I})