What is 2000ln((14000)/(14000-2100(1)))-9.8(1) ?

The solution to 2000ln((14000)/(14000-2100(1)))-9.8(1) is 2000(ln(14000)-ln(11900))-9.8

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simplify 2000ln((14000)/(14000-2100(1)))-9.8(1)

simplify

2000 ln (\frac{14000}{14000 - 2100 ( 1 )}) - 9.8 (1)

2000 (ln (14000) - ln (11900)) - 9.8

Decimal Notation

315.23785 \dots

Solution steps

2000 ln (\frac{14000}{14000 - 2100 ( 1 )}) - 9.8 (1)

Apply log rule:

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

ln (\frac{14000}{14000 - 2100 ( 1 )}) = ln (14000) - ln (14000 - 2100 (1))

= 2000 (ln (14000) - ln (14000 - 2100 \cdot 1)) - 1 \cdot 9.8

ln (14000 - 2100 \cdot 1) = ln (11900)

= 2000 (ln (14000) - ln (11900)) - 1 \cdot 9.8

Multiply the numbers:

9.8 \cdot 1 = 9.8

= 2000 (ln (14000) - ln (11900)) - 9.8

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What is 2000ln((14000)/(14000-2100(1)))-9.8(1) ?
The solution to 2000ln((14000)/(14000-2100(1)))-9.8(1) is 2000(ln(14000)-ln(11900))-9.8