Final answer:
An appropriate treatment option for a 13-year-old female patient with mild acne and an inadequate response to benzoyl peroxide treatment would be to consider isotretinoin.
Step-by-step explanation:
Mild acne often responds well to treatment with over-the-counter (OTC) products containing benzoyl peroxide or salicylic acid. Treatment with these products may take a month or two to clear up the acne. Once the skin clears, treatment generally needs to be continued for some time to prevent future breakouts.
If acne fails to respond to OTC products, nodules develop, or acne is affecting self-esteem, a visit to a dermatologist is in order. A dermatologist can determine which treatment is best for a given patient. A dermatologist can also prescribe prescription medications (which are likely to be more effective than OTC products) and provide other medical treatments such as laser light therapies or chemical peels.
Based on the given information, an appropriate treatment option for a 13 year old female patient with mild acne and an inadequate response to benzoyl peroxide treatment would be to consider isotretinoin. Isotretinoin is a retinoid that is effective for severe acne and can be considered when other treatments have failed.