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AHSME 1968 Problem 23

    If all the logarithms are real numbers, the equality log(x+3)+log(x−1)=log(x2−2x−3)log(x+3)+log(x-1)=log(x^2-2x-3) is satisfied for: (A) all real values of x(B) no real values of x(C) all real values of x except x=0(D) no real values of x except x=0(E) all real values of x except x=1\text{(A) all real values of }x \\ \text{(B) no real values of } x \\ \text{(C) all real values of } x \text{ except } x=0 \\ \text{(D) no real values of } x \text{ except } x=0 \\ \text{(E) all real values of } x \text{ except } x=1

    Dataset text NuminaMath-1.5. Quoted with source.

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