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purposes knowing the difference or converting between the two so in this equation we have y times a times log base b of x and again im just going to show you just a general example lets do y equals log base 2 of x all right and if you guys can see if you um if you remember your conversion between exponential and logarithmic basically what this is saying is uh b raised to what power gives you y so this is basically saying 2 raised to what power is going to give us x thats what that logarithm says and well practice more of this later but the important thing that i want to understand here or for you guys to understand is if we have x y for exponential we theres really no r theres no problem with plugging in anything in for x right theres no problem with plugging anything x and you guys can see the domain is negative infinity to infinity however the logarithmic function has a little issue because what this is saying is 2 raised to what power gives you x well the issue is if x is ne