What is ln(2000/1999)111 ?

The solution to ln(2000/1999)111 is (ln(2000)-ln(1999))*111

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simplify ln(2000/1999)111

simplify

ln (\frac{2000}{1999}) 111

(ln (2000) - ln (1999)) \cdot 111

Decimal Notation

0.05551 \dots

Solution steps

ln (\frac{2000}{1999}) \cdot 111

Apply log rule:

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

ln (\frac{2000}{1999}) = ln (2000) - ln (1999)

= 111 (ln (2000) - ln (1999))

- 0.402 - \frac{0.05916}{2} lo g_{10} (\frac{0.5}{1})

4.184 \cdot ln (\frac{( 273.15 + 60 )}{( 273.15 + 18 )})

ln (x) + 6 ln (\frac{y + x}{x}) - 9 ln (\frac{y + 2 x}{x})

- 7 ln (7 \cdot 0.9)

ln (112) - ln (133)

What is ln(2000/1999)111 ?
The solution to ln(2000/1999)111 is (ln(2000)-ln(1999))*111