Here are 30 similar logarithmic expression problems for you to study:

1. $2 \log_b 3 - \log_b 5$
2. $\log_b 8 + 4 \log_b 2$
3. $5 \log_b 4 - \log_b 16$
4. $3 \log_b 5 + \log_b 7$
5. $2 \log_b 10 - \log_b 2$
6. $4 \log_b 3 - \log_b 9$
7. $6 \log_b 2 + \log_b 8$
8. $3 \log_b 7 - 2 \log_b 3$
9. $\log_b 32 - 5 \log_b 2$
10. $\log_b 100 + 2 \log_b 10$
11. $\log_b 6 + 3 \log_b 4$
12. $7 \log_b 5 - \log_b 125$
13. $4 \log_b 6 + 2 \log_b 3$
14. $5 \log_b 8 - \log_b 2$
15. $3 \log_b 4 + 2 \log_b 5$
16. $6 \log_b 2 - \log_b 64$
17. $\log_b 9 + 3 \log_b 2$
18. $4 \log_b 7 - \log_b 49$
19. $3 \log_b 6 + \log_b 3$
20. $2 \log_b 8 - \log_b 4$
21. $5 \log_b 10 + \log_b 5$
22. $3 \log_b 12 - \log_b 9$
23. $\log_b 5 + 4 \log_b 3$
24. $6 \log_b 3 - \log_b 27$
25. $2 \log_b 9 + \log_b 8$
26. $3 \log_b 2 - \log_b 5$
27. $7 \log_b 4 + 2 \log_b 2$
28. $\log_b 10 + 3 \log_b 5$
29. $4 \log_b 6 - \log_b 12$
30. $5 \log_b 7 + \log_b 2$

These problems will give you good practice in manipulating and simplifying logarithmic expressions. Would you like an explanation of any particular problem, or have specific questions on logarithmic rules?

Here are some additional questions to guide your study:

1. How do you apply the power rule of logarithms in expressions like $3 \log_b 2$?
2. What is the effect of subtraction in logarithmic expressions, like in $3 \log_b 2 - \log_b 4$?
3. Can you express $\log_b 4$ in terms of $\log_b 2$?
4. How does the change of base formula apply in logarithmic problems?
5. What happens when you add or subtract logs of the same base?

Tip: Remember that subtraction of logarithms (e.g., $\log_b A - \log_b B$) can be expressed as a division of their arguments: $\log_b \left(\frac{A}{B}\right)$. This can simplify your calculations.