Question 70
Find all values of the real parameter $a$ such that the equation
$$
lg (a x+1)=\lg (x-1)+\lg (2-x)
$$
has exactly one solution.
$$
lg (a x+1)=\lg (x-1)+\lg (2-x)
$$
has exactly one solution.
MathNet 2005 — Part 02 Question 70
Math Olympiad Vault · MathNet 2005 — Part 02