What is simplify-30000ln(49/50) ?

The solution to simplify-30000ln(49/50) is -30000(2ln(7)-ln(50))

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simplify-30000ln(49/50)

simplify

- 30000 ln (\frac{49}{50})

- 30000 (2 ln (7) - ln (50))

Decimal Notation

606.08121 \dots

Solution steps

- 30000 ln (\frac{49}{50})

Apply log rule:

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

ln (\frac{49}{50}) = ln (49) - ln (50)

= - 30000 (ln (49) - ln (50))

ln (49) = 2 ln (7)

= - 30000 (2 ln (7) - ln (50))

- \frac{1}{3} ln (\frac{1}{3}) - \frac{1}{3} ln (\frac{1}{3}) - \frac{1}{3} ln (\frac{1}{3})

ln (\frac{sin ( x )}{2})

- lo g_{10} (1.6 \cdot 1 0^{- 14})

- \frac{1}{2} ln ∣ 16 - 24 + 10 ∣ + \frac{1}{2} ln ∣ 10 ∣

ln (2) - ln (4) + ln (5)

What is simplify-30000ln(49/50) ?
The solution to simplify-30000ln(49/50) is -30000(2ln(7)-ln(50))