The public records log is subject to disclosure under the Public Records Act (PRA). RCW 40.14.026(4) provides (with emphasis added):
Each agency shall maintain a log of public records requests submitted to and processed by the agency, which shall include but not be limited to the following information for each request: The identity of the requestor if provided by the requestor, the date the request was received, the text of the original request, a description of the records produced in response to the request, a description of the records redacted or withheld and the reasons therefor, and the date of the final disposition of the request. The log must be retained by the agency in accordance with the relevant record retention schedule established under this chapter, and shall be a public record subject to disclosure under Chapter 42.56 RCW.
There is not an exemption that would apply that would allow an agency to redact names, emails, or phone numbers of individuals submitting requests. The requests themselves are public records subject to disclosure, along with the information voluntarily submitted by the requestor. Note that if there is credit card or other personal information such as social security numbers protected under RCW 42.56.230(5), then that information could be redacted. However, it is unlikely that information would be included in a log or records request.
Finally, an agency cannot provide a requestor a list of individuals if it is to be used for commercial purposes. An agency has a duty to investigate if it believes the requestor may be asking for a list for commercial purposes. See this Public Records Act FAQ, How should an agency proceed if it receives a request for lists of individuals?