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1968 AMC 12 Question 23

AMC12 · 1968 AMC 12

Question 23

If all the logarithms are real numbers, the equality

$$
\begin{aligned} \log(x+3)+\log(x-1)\\ =\log(x^2-2x-3) \end{aligned}
$$

is satisfied for:
  1. all real values of $x$
  2. no real values of $x$
  3. all real values of $x$ except $x=0$
  4. no real values of $x$ except $x=0$
  5. all real values of $x$ except $x=1$