What is (-1.679)+(2477.572)ln((0.5)/(1.5)) ?

The solution to (-1.679)+(2477.572)ln((0.5)/(1.5)) is -1.679+2477.572(ln(0.5)-ln(1.5))

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simplify (-1.679)+(2477.572)ln((0.5)/(1.5))

simplify

(- 1.679) + (2477.572) ln (\frac{0.5}{1.5})

- 1.679 + 2477.572 (ln (0.5) - ln (1.5))

Decimal Notation

- 2723.57004 \dots

Solution steps

(- 1.679) + (2477.572) ln (\frac{0.5}{1.5})

Apply log rule:

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

ln (\frac{0.5}{1.5}) = ln (0.5) - ln (1.5)

= - 1.679 + 2477.572 (ln (0.5) - ln (1.5))

lo g_{10} (\frac{a ^{2}}{b c ^{3}})

lo g_{10} (m \cdot n \cdot p \cdot q)

- (2 ln (3) + ln (2))

\frac{3}{2} (ln (13) - ln (8))

ln (4) + \frac{1}{3} ln (27)

What is (-1.679)+(2477.572)ln((0.5)/(1.5)) ?
The solution to (-1.679)+(2477.572)ln((0.5)/(1.5)) is -1.679+2477.572(ln(0.5)-ln(1.5))