What is (25(ln(-7)-ln(-15)))/(ln(2/3)) ?

The solution to (25(ln(-7)-ln(-15)))/(ln(2/3)) is (25ln(7/15))/(ln(2/3))

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simplify (25(ln(-7)-ln(-15)))/(ln(2/3))

simplify

\frac{25 ( ln ( - 7 ) - ln ( - 15 ) )}{ln ( \frac{2}{3} )}

\frac{25 ln ( \frac{7}{15} )}{ln ( \frac{2}{3} )}

Decimal Notation

46.99171 \dots

Solution steps

\frac{25 ( ln ( - 7 ) - ln ( - 15 ) )}{ln ( \frac{2}{3} )}

Apply log rule:

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

ln (- 7) - ln (- 15) = ln (\frac{- 7}{- 15})

= \frac{25 ln ( \frac{- 7}{- 15} )}{ln ( \frac{2}{3} )}

Apply the fraction rule:

\frac{- a}{- b} = \frac{a}{b}

= \frac{25 ln ( \frac{7}{15} )}{ln ( \frac{2}{3} )}

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What is (25(ln(-7)-ln(-15)))/(ln(2/3)) ?
The solution to (25(ln(-7)-ln(-15)))/(ln(2/3)) is (25ln(7/15))/(ln(2/3))