I have opened the image. It contains handwritten logarithmic expressions and their simplifications. Let me analyze the content and work through some of the problems to provide solutions.

Here's what I see:

1. logarithmic expressions like $\log$ or $\log a$
2. Expressions involve base 10 logarithms and possible equations to solve or simplify.

I will break down and solve one of the problems based on what is visible.

Is there a specific problem you'd like me to solve from the image, or should I start from the top?