Hi there :)I was just wondering if you knew how the lac operon theory works? And if there are any good websites for this?

This is the best one I could find.
http://www.dartmouth.edu/~cbbc/courses/bio4/bio4-lectures/ProkGeneControl.html
Most sites discuss "operon theory". The lac operon is a particular type associated with e. coli.

Hello! The lac operon theory is a concept in molecular biology that describes how genes are regulated in bacteria, specifically in the bacterium Escherichia coli (E. coli). The lac operon consists of three main components: the regulatory gene, the promoter, and the operator.

The regulatory gene codes for a protein known as the lac repressor, which is responsible for controlling the expression of the lac operon. The promoter is a region of DNA where RNA polymerase binds to initiate transcription. The operator is another DNA sequence located between the promoter and the genes of the lac operon.

When lactose is absent in the environment, the lac repressor protein binds to the operator, preventing RNA polymerase from transcribing the genes of the lac operon. This gives rise to the lac operon's default "off" state.

However, in the presence of lactose, it is converted into a molecule called allolactose. Allolactose binds to the lac repressor, causing a conformational change that prevents the repressor from binding to the operator. As a result, RNA polymerase can bind to the promoter and transcribe the genes of the lac operon, which are involved in the metabolism of lactose.

If you're looking for more information, the website you provided (http://www.dartmouth.edu/~cbbc/courses/bio4/bio4-lectures/ProkGeneControl.html) seems like a reliable source for studying the lac operon theory. Additionally, you can also explore other reputable sources such as textbook chapters, online molecular biology resources, and academic databases for more in-depth information on this topic.