Embodiments herein are directed to topical formulations of a compound represented by the formula (I), salt, metabolite, prodrug, or hydrate thereof along with a solvent, and a base. The compound is a PDE4 inhibitor and the topical formulations may be used to treat dermatological conditions such as, but not limited to, atopic dermatitis, seborrheic dermatitis, alopecia, contact dermatitis, psoriasis, urticaria, eczema, burns, sunburn, pancreatitis, hepatitis, lichen planus, scleritis, scleroderma, dermatomyositis, itching associated with any of the preceding conditions or a combination thereof.