B

9000003806

Level: 
B
In the following list identify an equation such that neither \(x = 5\) nor \(x = 3\) is the solution of this equation.
\(\log _{3}(1 - x) =\log _{3}(x + 16 - x^{2})\)
\(\log (54 - x^{3}) = 3\cdot \log x\)
\(\log _{5}(x^{2} - 17) =\log _{5}(x + 3)\)
\(\log (x - 2) -\log (4 - x) = 1 -\log (13 - x)\)

9000003808

Level: 
B
Identify one statement which is true for the following equation. \[ \log (x - 13) -\log (x - 3) = 1 -\log 2 \]
The equation does not have a solution.
The equation has two solutions.
The equation has a unique solution. This solution is a noninteger rational number.
The solution is \(x = 0\).
The equation has a unique solution. This solution is a positive integer.
The equation has a unique solution. This solution is a negative integer.

9000003803

Level: 
B
The function \(g\colon y =\log _{3}(x - 2)\) is graphed in the picture. In the following list identify a false statement.
The function \(g\) is a positive function.
The domain of the function \(g\) is the interval \((2;\infty )\).
The function \(g\) is not bounded.
The function \(g\) is an increasing function.
The function \(g\) has neither minimum nor maximum.
The graph of the function \(g\) goes through \([5;1]\).