What is simplify-500ln((500)/(1000+50)) ?

The solution to simplify-500ln((500)/(1000+50)) is -500(ln(500)-ln(1050))

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simplify-500ln((500)/(1000+50))

simplify

- 500 ln (\frac{500}{1000 + 50})

- 500 (ln (500) - ln (1050))

Decimal Notation

370.96867 \dots

Solution steps

- 500 ln (\frac{500}{1000 + 50})

Apply log rule:

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

ln (\frac{500}{1000 + 50}) = ln (500) - ln (1000 + 50)

= - 500 (ln (500) - ln (1000 + 50))

Add the numbers:

1000 + 50 = 1050

= - 500 (ln (500) - ln (1050))

- ln (2.8) + 2 ln (7.8)

\frac{1}{2} ln ∣ 2 x + 1 ∣ + 2 ln ∣ x - 1 ∣

- ln (9) + ln (7) + ln (5) - ln (3)

- lo g_{10} (1.8 \cdot 1 0^{- 15})

\frac{100}{2 \cdot π \cdot 400} \cdot ln (\frac{4 + 2 \cdot 40 0 ^{2}}{25})

What is simplify-500ln((500)/(1000+50)) ?
The solution to simplify-500ln((500)/(1000+50)) is -500(ln(500)-ln(1050))