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this video involves transposition of formulae involving logs and exponential now remember that y equal to e to the x has an inverse y is equal to ln x so if we are to take the log the natural log of e x we are left with just x and if we are to take the exponential of the natural log we are also left with just x so this basically gives us a way of eliminating an exponential or a log function and we do that by taking the inverse and they cancel each other out and were left with just the power in both cases the power x here or the power x here so we use this to help us transpose formulas involving logs and exponentials and were going to have a look at a couple of examples in the following slides example one change the subject of y is equal to b minus e to the power n t to t okay so changing the subject means transpose we want to rearrange the equation so that we have the equation written in terms of x is equal to right now the subject is y and we want to change that to t so the first t