What is simplify-8000*ln(400/1000) ?

The solution to simplify-8000*ln(400/1000) is -8000(2ln(20)-3ln(10))

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simplify-8000*ln(400/1000)

simplify

- 8000 \cdot ln (\frac{400}{1000})

- 8000 (2 ln (20) - 3 ln (10))

Decimal Notation

7330.32585 \dots

Solution steps

- 8000 ln (\frac{400}{1000})

Apply log rule:

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

ln (\frac{400}{1000}) = ln (400) - ln (1000)

= - 8000 (ln (400) - ln (1000))

ln (400) = 2 ln (20)

ln (1000) = 3 ln (10)

= - 8000 (2 ln (20) - 3 ln (10))

ln (x^{a - 1} (1 - x)^{b - 1})

ln (v x^{5})

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

2 ln (x) + ln (x + 2)

\frac{1}{2} lo g_{7} (m) + \frac{1}{3} lo g_{7} (y)

What is simplify-8000*ln(400/1000) ?
The solution to simplify-8000*ln(400/1000) is -8000(2ln(20)-3ln(10))