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all right in this video we want to solve past questions all right that has to do with logarithms so weamp;#39;re just going to select questions that uh logarithmic questions from the past questions and weamp;#39;re going to put them right here and show you the solutions as well as i explained for you guys to see okay great now the first question we have is this right now in our previous video that is the most recent video before this one i i showed us a very nice property of the logarithms that when we have a reciprocal of a logarithm for example we have the logarithm of a certain base okay of a certain base to that to some number is the same thing as saying 1 over the logarithm of b to base a so when you have the logarithm of the number to some base okay if you take the reciprocal of that logarithm right it is going to give you the logarithm of the base now in the position of the number and then the number in the position of the base so itamp;#39;s going to just interchange things