Why does 2ln6 - 2ln3 = ln4?

Answer 1

2ln6 = ln 36
2ln3 = ln 9
ln36 - ln 9 = ln(36/9) = ln 4

or

2(ln6-ln3) = 2(ln(6/2) = 2ln2 = ln(2^2) = ln 4

Answer 2

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