What is 2000ln((140000)/(140000-2100(8)))-9.8(8) ?

The solution to 2000ln((140000)/(140000-2100(8)))-9.8(8) is 2000(ln(140000)-ln(123200))-78.4

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simplify 2000ln((140000)/(140000-2100(8)))-9.8(8)

simplify

2000 ln (\frac{140000}{140000 - 2100 ( 8 )}) - 9.8 (8)

2000 (ln (140000) - ln (123200)) - 78.4

Decimal

177.26674 \dots

Solution steps

2000 ln (\frac{140000}{140000 - 2100 ( 8 )}) - 9.8 (8)

Apply log rule:

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

ln (\frac{140000}{140000 - 2100 ( 8 )}) = ln (140000) - ln (140000 - 2100 (8))

= 2000 (ln (140000) - ln (140000 - 2100 \cdot 8)) - 8 \cdot 9.8

ln (140000 - 2100 \cdot 8) = ln (123200)

= 2000 (ln (140000) - ln (123200)) - 8 \cdot 9.8

Multiply the numbers:

9.8 \cdot 8 = 78.4

= 2000 (ln (140000) - ln (123200)) - 78.4

ln (x) - ln (t)

\frac{5}{14} lo g_{2} (\frac{5}{14}) + \frac{9}{14} lo g_{2} (\frac{9}{14})

- 3 ln (\frac{4}{9})

4 ln (x + 6) - 2 ln (x)

lo g_{10} (0.1) - lo g_{10} (0.2)

What is 2000ln((140000)/(140000-2100(8)))-9.8(8) ?
The solution to 2000ln((140000)/(140000-2100(8)))-9.8(8) is 2000(ln(140000)-ln(123200))-78.4