This math topic focuses on solving logarithmic equations where the arguments are fractional values. Students practice determining the unknown variable 'x' in equations of the form \(\log_b \left(\frac{1}{a}\right) = x\) for various bases \(b\) and fractional arguments \(a\). Each problem includes multiple choice answers, requiring the student to select the correct value of \(x\) that satisfies the logarithmic equation. This is part of a broader introduction to logarithms, enhancing skills in understanding and manipulating logarithmic expressions.