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Pamela Kumar explains how to solve logarithmic equations using two examples: 1. **Equation 1**: log base 4 of (X - 1) + 1 = 2 - Rearrange to log base 4 of (X - 1) = 1 - Convert to exponential form: X - 1 = 4^(-1) = 1/4 - Solve for X: X = 1/4 + 1 = 5/42. **Equation 2**: -log base 3 of (X + 2) = 4 - Rearrange to log base 3 of (X + 2) = -4 - Convert to exponential form: X + 2 = 3^(-4) - Solve for X.The steps include rearranging the equation and converting to exponential form before solving for X.