(1/3) [2 ln (X+5) - ln X - ln (x^2 -6)
Condense the expression and wrire it as a single logarithm whose coefficient is 1.
logarithmic questions
2008-05-15 8:18 am
回答 (1)
2008-05-15 4:28 pm
✔ 最佳答案
Since ln a^b = b ln a, therefore 2ln(x+5)= ln(x+5)^2.Since ln a - ln b = ln(a/b), therefore
2ln(x+5) - ln x - ln (x^2-6) = ln [ (x+5)^2/x(x^2-6)].
Similarly, (1/3) [2ln(x+5) - ln x - ln (x^2 -6)] = ln [(x+5)^2/x(x^2-6)]^(1/3).
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