The original image contains handwritten mathematical expressions. Please transcribe and analyze them.

Analysis of Mathematical Expressions:

• The image displays several mathematical notations, likely from a math lesson.
• One prominent expression appears to be a logarithm: \( \log(100) - 2 \).
• Another section shows \( \frac{1}{27} \) and \( \frac{3}{4} \), potentially indicating fractions or parts of a larger problem.
• There's also an expression with a circle and a subscript '2', possibly \( O^2 \) or similar, and a vertical line which might indicate a boundary or part of a larger notation like absolute value or a determinant.
• Additionally, \( \sqrt[3]{} \) is visible, indicating a cube root.
• The notation \( and \) could be an abbreviation or part of a problem statement.
• Finally, \( 2^4 \) is present, representing 2 raised to the power of 4.

Note: Without the full context or clearer images, it is difficult to determine the exact relationship between these expressions or the complete problem they belong to.