What is 2194.075ln(-300)-2194.075ln(-1000) ?

The solution to 2194.075ln(-300)-2194.075ln(-1000) is ln(((-300)^{2194.075})/((-1000)^{2194.075)})

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simplify 2194.075ln(-300)-2194.075ln(-1000)

simplify

2194.075 ln (- 300) - 2194.075 ln (- 1000)

ln (\frac{( - 300 ) ^{2194.075}}{( - 1000 ) ^{2194.075}})

Solution steps

2194.075 ln (- 300) - 2194.075 ln (- 1000)

Apply log rule:

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

2194.075 ln (- 300) = ln ((- 300)^{2194.075})

= ln ((- 300)^{2194.075}) - 2194.075 ln (- 1000)

Apply log rule:

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

2194.075 ln (- 1000) = ln ((- 1000)^{2194.075})

= ln ((- 300)^{2194.075}) - ln ((- 1000)^{2194.075})

Apply log rule:

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

ln ((- 300)^{2194.075}) - ln ((- 1000)^{2194.075}) = ln (\frac{( - 300 ) ^{2194.075}}{( - 1000 ) ^{2194.075}})

= ln (\frac{( - 300 ) ^{2194.075}}{( - 1000 ) ^{2194.075}})

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What is 2194.075ln(-300)-2194.075ln(-1000) ?
The solution to 2194.075ln(-300)-2194.075ln(-1000) is ln(((-300)^{2194.075})/((-1000)^{2194.075)})