 Which means patients using of using locked in a lot of them sir base is taken as N N Change of base property. Yeah This is useful in those cases where you cannot figure out the 64 to the base 16 Now if you do 16 to the power 0 it is 1 16 to the power 1 it will be 16 16 to the power to 250 60 that's cross 64 So how do you know on 16 which will give you 64? So what do we do? This property is very useful Yes proof for this ever I don't accept anything I'm like Chain rule Chain of base Yes Okay, so we have okay, let's say I start with left-hand side, sorry right-hand side I call this Are we going to raise to the power x by way? Yes, sir That means law if I'm not evacuating There are other ways. Is it fine change of base property? This property would be used when you're asked to differentiate such functions of log which are not having basis as e They will be converted to a base of e and then perform the differentiation Don't worry, differentiation and all they're going to take up next class Next class is very vital Calculus is heart and soul for you in maths and physics as well And to a certain extent in chemistry So please do not miss out the next class which is going to be all introduction to calculus How many of you have already introduced calculus? 99% of people sitting here are not aware of calculus Calculus Next property Property number five Property number two is one Which can be proved if you write this as Change of base like this And you use the same beam over here as this Okay Is that right? So if you change the position it would be reciprocated Okay If log is two then log two to the base four will be half The next property which is the sixth property is basically governed The basis between zero and one and the basis greater than one So it depends upon yes then the graph will be like this If it is between zero LHS So this term goes off Raise to the It comes from the very Scum Scum Scum Scum Scum Scum Then It's actually what? Because Listen to this Change Please move this That means before that you are Okay Sit down Is that So what is m then? Would be same as x y If I do n So this m then should be same Okay Now m to the power x This was your x So put this in place of x I get this Right n to the power y Why was this So I put this in place of y So this is the property Is that fine Okay If you have understood this property I am going to throw some questions at you Let's see who is going to solve that First question