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

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

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

simplify

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

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

Solution steps

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

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

ln (\frac{e ^{x} + e ^{- x}}{e ^{x} - e ^{- x}})

ln (- a \cdot e)

7 lo g_{b} (z - 7) - 6 lo g_{b} (z + 7)

5 ln (5) - 3 ln (3)

ln (\frac{1 + e ^{x}}{1 - e ^{x}})

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