It looks like the file contains various math problems, primarily focusing on logarithms, algebraic equations, and other similar topics. Below are some of the key problems extracted from the document:

1. Simplifying logarithmic expressions.
2. Solving equations involving logarithms.
3. Determining roots of quadratic equations.
4. Basic function evaluations.
5. Solving for values of $x$ in algebraic expressions.

Would you like detailed solutions to any of the specific problems listed? If so, please provide the problem number or share which one you'd like to explore more.

Here are 5 follow-up questions based on these problems:

1. How do you simplify an expression involving logarithms with different bases?
2. What are the methods to solve quadratic equations with logarithmic terms?
3. Can you convert between logarithmic and exponential forms?
4. What is the product of the roots of a quadratic equation?
5. How do you evaluate a composite function involving logarithms?

Tip: Remember, for logarithmic equations, converting them into their exponential form can make solving them much easier!