Y=ln(x^2+3x)/(x+1)

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To simplify the given expression, we start by applying the properties of logarithms:

Y = ln(x^2 + 3x) - ln(x + 1)

Next, we can combine the two logarithms by using the property of division:

Y = ln((x^2 + 3x)/(x + 1))

This is the simplified expression for Y.