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Pamela Kumar let us try to understand how to solve logarithmic equations we have two examples here log the base 4 of X minus 1 plus 1 equals 2 0 3 minus log to the base 3 of X plus 2 equals to 4 now to solve such equations we need to rearrange by that is the first step rearrange and the second step will be righted as exponential equalent right exponential equivalent so and then well solve right and then the solve for X so these are the steps involved let us begin with the very first equation which is log to the base 4 of X minus 1 plus 1 so lets rearrange take 1 to the right side so we get log to the base 4 of X minus 1 equals 2 minus 1 now second step is exponential equivalent so we know X minus 1 should be close to 4 to the power of minus 1 correct now what is 4 to the power of minus 1 X minus 1 is equals to 1 over 4 K that is what it is so X is equals to 1 over 4 plus 1 right which is you can take for common denominator 4 plus 1 is 5 to get 5 over 4 as your answer right 504 as