Compositions having a mixture of lidocaine prilocaine and tetracaine or their pharmaceutically acceptable salts. A preferred composition includes the following components in the indicated approximate w/w percentages: 1.5% lidocaine base; 1.5% prilocaine base; 4% tetracaine base and water. In some implementations also included may be about 10% methylpynrolidone; 2% dimethyl sulfoxide; 0.08% topical hyaluronidase; 1.5% guar gum; 1% polyoxyethylenesorbitan monolaurate; 0.5 polyoxyethylenesorbitan monooleate and water to 100%. Such compositions exhibits a high concentration on skin a deep anesthetic effect and a significantly more rapid onset of the anesthetic effect than comparable transdermal anesthetics.

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