What is 2000ln((140000)/(140000-2100x))-9.8x ?

The solution to 2000ln((140000)/(140000-2100x))-9.8x is 2000(ln(140000)-ln(140000-2100x))-9.8x

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simplify 2000ln((140000)/(140000-2100x))-9.8x

simplify

2000 ln (\frac{140000}{140000 - 2100 x}) - 9.8 x

2000 (ln (140000) - ln (140000 - 2100 x)) - 9.8 x

Solution steps

2000 ln (\frac{140000}{140000 - 2100 x}) - 9.8 x

Apply log rule:

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

ln (\frac{140000}{140000 - 2100 x}) = ln (140000) - ln (140000 - 2100 x)

= 2000 (- ln (- 2100 x + 140000) + ln (140000)) - 9.8 x

2 ln (x) + ln (x + 2)

\frac{1}{2} lo g_{7} (m) + \frac{1}{3} lo g_{7} (y)

ln (\frac{9}{x ^{2} + 2})

lo g_{4} (a^{7} b^{3})

8.314 \cdot ln (\frac{1}{10})

What is 2000ln((140000)/(140000-2100x))-9.8x ?
The solution to 2000ln((140000)/(140000-2100x))-9.8x is 2000(ln(140000)-ln(140000-2100x))-9.8x