What is 800ln(40000/39999) ?

The solution to 800ln(40000/39999) is 800(2ln(200)-ln(39999))

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simplify 800ln(40000/39999)

simplify

800 ln (\frac{40000}{39999})

800 (2 ln (200) - ln (39999))

Decimal Notation

0.02000 \dots

Solution steps

800 ln (\frac{40000}{39999})

Apply log rule:

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

ln (\frac{40000}{39999}) = ln (40000) - ln (39999)

= 800 (ln (40000) - ln (39999))

ln (40000) = 2 ln (200)

= 800 (2 ln (200) - ln (39999))

ln (\frac{6.61}{0.3597})

2 ln (3 x) - 3 ln (2 x)

3 lo g_{5} (u) + 2 lo g_{5} (v)

2 ln (3) - ln (45) + 2 ln (5)

ln (\frac{497}{4888})

What is 800ln(40000/39999) ?
The solution to 800ln(40000/39999) is 800(2ln(200)-ln(39999))