This document outlines steps to prove an identity involving logarithms and exponents. It involves simplifying expressions by factoring and using Pythagorean identities to show that the base and argument of the logarithm are equal, meaning the logarithm is equal to the exponent. Key steps include multiplying terms to achieve a common denominator, factoring, and applying algebraic manipulations and Pythagorean identities to prove the right hand side is also equal to the exponent.