What is simplify-500ln((500)/(500+1000)) ?

The solution to simplify-500ln((500)/(500+1000)) is -500(ln(500)-ln(1500))

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simplify-500ln((500)/(500+1000))

simplify

- 500 ln (\frac{500}{500 + 1000})

- 500 (ln (500) - ln (1500))

Decimal Notation

549.30614 \dots

Solution steps

- 500 ln (\frac{500}{500 + 1000})

Apply log rule:

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

ln (\frac{500}{500 + 1000}) = ln (500) - ln (500 + 1000)

= - 500 (ln (500) - ln (500 + 1000))

Add the numbers:

500 + 1000 = 1500

= - 500 (ln (500) - ln (1500))

ln (60) - ln (30)

ln (- 1) - ln (3)

ln (\frac{1}{1 - \frac{0.0003}{2}})

ln (\frac{100 + 9.12}{9.12})

ln (a^{k})

What is simplify-500ln((500)/(500+1000)) ?
The solution to simplify-500ln((500)/(500+1000)) is -500(ln(500)-ln(1500))