What is join-(1000ln(11600/19971))/3 ?

The solution to join-(1000ln(11600/19971))/3 is -(ln((11600/19971)^{1000}))/3

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join-(1000ln(11600/19971))/3

join

- \frac{1000 ln ( \frac{11600}{19971} )}{3}

- \frac{ln ( ( \frac{11600}{19971} ) ^{1000} )}{3}

Decimal Notation

181.09204 \dots

Solution steps

- \frac{1000 ln ( \frac{11600}{19971} )}{3}

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

1000 ln (\frac{11600}{19971}) = ln ((\frac{11600}{19971})^{1000})

= - \frac{ln ( ( \frac{11600}{19971} ) ^{1000} )}{3}

ln (\frac{9}{7}) \cdot \frac{500}{6}

3 lo g_{b} (x) - 6 lo g_{b} (z) - 4 lo g_{b} (w)

4 + 2 lo g_{5} (x) - \frac{1}{3} lo g_{5} (y)

- ln (\frac{2 l + d}{l}) + ln (\frac{l + d}{l}) + ln (\frac{l + d}{d})

- lo g_{10} (7.93 \cdot 1 0^{- 3})

What is join-(1000ln(11600/19971))/3 ?
The solution to join-(1000ln(11600/19971))/3 is -(ln((11600/19971)^{1000}))/3