l n 24 − l n 6 = l n ( 24 : 6 ) = l n 4 = l n 2 2 = 2 l n 2
The expression ln 24 − ln 6 simplifies to 2 ln 2 using logarithm properties. We rewrite it as ln ( 6 24 ) = ln 4 , and then further simplify ln 4 to 2 ln 2 . This demonstrates how logarithms can be manipulated using their properties.
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