Home Competitions AHSME 1968 Problem 23
If all the logarithms are real numbers, the equality
l o g ( x + 3 ) + l o g ( x − 1 ) = l o g ( x 2 − 2 x − 3 ) log(x+3)+log(x-1)=log(x^2-2x-3) l o g ( x + 3 ) + l o g ( x − 1 ) = l o g ( x 2 − 2 x − 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 (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
Dataset text NuminaMath-1.5 . Quoted with source.
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