Asked by Ladybug
write the expression as a single logarithm
In(x/x-2)+In(x+2/x)-In(x^2-4)
Please show work
In(x/x-2)+In(x+2/x)-In(x^2-4)
Please show work
Answers
Answered by
kay
Basic rules: lna+lnb=ln(ab) and lna-lnb=ln(a/b) also lna^x=xlna
ln[x/(x-2)*(x+2/x)]-ln(x^2-4)= ln[(x^2+2)/(x-2)]-ln(x^2-4)= ln [divide]hence simplify fraction and get answer
ln[x/(x-2)*(x+2/x)]-ln(x^2-4)= ln[(x^2+2)/(x-2)]-ln(x^2-4)= ln [divide]hence simplify fraction and get answer
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