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In this tutorial, Pamela Kumar demonstrates how to solve logarithmic equations using two examples. The first step is rearranging the equation, followed by finding the exponential equivalent. The final step is solving for X. In the example log base 4 of X minus 1 plus 1 equals 2, we rearrange and find X equals 5/4. The key is understanding logarithmic properties and applying them correctly to simplify and solve the equations effectively.