4. (10%) Definition: The function ln(x) = 
, x ＞ 0, is called the natural logarithm function. Prove that In(ab) = ln(a) + In(b) for a, b ＞ 0.
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4. (10%) Definition: The function ln(x) = , x ＞ 0, is called the natural logarithm function. Prove that In(ab) = ln(a) + In(b) for a, b ＞ 0.