What is 2000ln((14000)/(14000-2100(8)))-9.8(8) ?

The solution to 2000ln((14000)/(14000-2100(8)))-9.8(8) is 2000(ln(14000)-ln(-2800))-78.4

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simplify 2000ln((14000)/(14000-2100(8)))-9.8(8)

simplify

2000 ln (\frac{14000}{14000 - 2100 ( 8 )}) - 9.8 (8)

2000 (ln (14000) - ln (- 2800)) - 78.4

Solution steps

2000 ln (\frac{14000}{14000 - 2100 ( 8 )}) - 9.8 (8)

Apply log rule:

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

ln (\frac{14000}{14000 - 2100 ( 8 )}) = ln (14000) - ln (14000 - 2100 (8))

= 2000 (ln (14000) - ln (14000 - 2100 \cdot 8)) - 8 \cdot 9.8

ln (14000 - 2100 \cdot 8) = ln (- 2800)

= 2000 (ln (14000) - ln (- 2800)) - 8 \cdot 9.8

Multiply the numbers:

9.8 \cdot 8 = 78.4

= 2000 (ln (14000) - ln (- 2800)) - 78.4

- lo g_{10} (4.6 \cdot 1 0^{- 8})

lo g_{4} (\frac{c}{16})

3 lo g_{5} (2 x) - 4 lo g_{5} (x - 1)

- ln (cos (x)) + ln (c)

ln (\frac{112}{100}) + (\frac{1}{2} \cdot 0. 2^{2} - 0.05) \cdot 0.5

What is 2000ln((14000)/(14000-2100(8)))-9.8(8) ?
The solution to 2000ln((14000)/(14000-2100(8)))-9.8(8) is 2000(ln(14000)-ln(-2800))-78.4