Logarithmic equations and inequalities

1003162704

Level: 
B
Which of the following statements about the given equation is true? \[ \log_4(x-1)^2=3-\frac1{\log_4⁡(x-1)} \]
The solution set consists of two prime numbers.
The solution set is \( \left\{\frac12;1\right\} \).
The solution set is the empty set.
The equation has exactly one solution.
None of the above statements is true.