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in this video were going to start to apply the log linearization techniques we learned in the last video to an actual behavioral equation to derive bits log linearized form so in this video well deal with the labor supply equation so we have WT which is wage is equal to CT consumption minus 1 over LT or log laborers so here we have the labor supply equation and just simplifying it with respect to CT we can get this form here and what eventually we want to get is this form here this is our log linearize this is our log linear linearized labor supply equation so we want to eventually get to that solution so well apply our log linearization techniques so first technique to apply is just the basic conclusion so we apply okay so if you remember the rule ZT tilde is equal to z bar e ZT tilde so we can apply that to our variables here so were gonna use this so starting from this say this is 1 okay starting from 1 we get C bar EC T tilde is equal to W bar aw t tilde times 1 minus L bar e