What is 2000ln((140000)/(140000-4200))-(9.8*2) ?

The solution to 2000ln((140000)/(140000-4200))-(9.8*2) is 2000(ln(140000)-ln(135800))-19.6

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simplify 2000ln((140000)/(140000-4200))-(9.8*2)

simplify

2000 ln (\frac{140000}{140000 - 4200}) - (9.8 \cdot 2)

2000 (ln (140000) - ln (135800)) - 19.6

Decimal Notation

41.31841 \dots

Solution steps

2000 ln (\frac{140000}{140000 - 4200}) - (9.8 \cdot 2)

Apply log rule:

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

ln (\frac{140000}{140000 - 4200}) = ln (140000) - ln (140000 - 4200)

= 2000 (ln (140000) - ln (140000 - 4200)) - 2 \cdot 9.8

Subtract the numbers:

140000 - 4200 = 135800

= 2000 (ln (140000) - ln (135800)) - 2 \cdot 9.8

Multiply the numbers:

9.8 \cdot 2 = 19.6

= 2000 (ln (140000) - ln (135800)) - 19.6

lo g_{b} (\frac{a ^{\frac{- 3}{2}}}{b ^{4}})

ln (a^{5})

- ln (- 6 e^{x})

- 0.25 ln (1.33813 2. 5^{2} + 0.55848)

ln (\frac{2.01}{1.7})

What is 2000ln((140000)/(140000-4200))-(9.8*2) ?
The solution to 2000ln((140000)/(140000-4200))-(9.8*2) is 2000(ln(140000)-ln(135800))-19.6