Simplify/Condense natural log of x/(x-1)+ natural log of (x+1)/x- natural log of x^2-1

Math
Use the product property of logarithms, .
Use the quotient property of logarithms, .
Multiply and .
Simplify the denominator.
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Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Reduce the expression by cancelling the common factors.
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Cancel the common factor.
Rewrite the expression.
Multiply the numerator by the reciprocal of the denominator.
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Simplify/Condense natural log of x/(x-1)+ natural log of (x+1)/x- natural log of x^2-1

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