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Determine the Sum of the Infinite Geometric Series k=03kln2\sum _ { \mathrm { k } = 0 } ^ { \infty } 3 ^ { - \mathrm { k } } \ln 2

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Determine the sum of the infinite geometric series k=03kln2\sum _ { \mathrm { k } = 0 } ^ { \infty } 3 ^ { - \mathrm { k } } \ln 2 Enter your answer exactly in the reduced form alnbc\frac { a \ln b } { c } .

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