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

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

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

simplify

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

ln (140000) - ln (140000 - 2100 x)

Solution steps

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

Apply log rule:

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

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

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

2 ln ∣ x ∣ - ln ∣ x - 3 ∣

2 ln^{x} (+ \frac{1}{2} ln (x - 1) - 3 ln (x + 7))

\frac{1}{3} ln (\frac{9 + 3 17}{2})

- 3 ln (4 x)

lo g_{10} (1.42 \cdot 1 0^{- 5}) - (2.84 \cdot 1 0^{- 10})

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