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in this video were going to focus on graphing logarithmic functions with transformations and were also going to talk about how to write the domain and the range so lets begin lets start with this example y is equal to log base 2 of x now theres a process that if you use it its going to make graphing logarithmic functions very easy now the first thing you want to do whatever is on the inside you want to set it equal to three things you want to set it equal to zero to one and to whatever the base is in this case the base is two and you wanna make a table when you set it equal to zero and you solve for x this is going to be the equation of the vertical asymptote when you set it equal to one and two whatever values of x that you get are going to be the points that you want to plug in so lets find y when x is one log 1 is always equal to 0 regardless of the base because anything raised to the 0 power is 1. now if we plug in 2 a log base 2 of 2 these are the same they cancel its jus