 Let's have a look at how Julia just handles these special roots like square root sqrt would be the function square root and the square root of 9 Of course is this 3 we can also do cube roots So let's say the cube root of 27. That's of course going to be 3 as well We have the natural exponential the value e so I can say exp now in The value e to the power one is just going to be itself So this would be a way for us to see what the value is that Does hold 2.71828 etc etc? So that's just e to the power and I can put in any power there I like if I want a more accuracy when x is near zero in the case of the exponent of x So that x minus one if if say zero minus one that's going to be negative one If I want to for while Julia was written such that you can have more accuracy there if you didn't do that if I were just to type in exp of something that's very close to negative one in other words So if I put zero in there zero minus one's negative one something very close to zero not zero exactly I'm going to get a bit of I'm going to get into a bit of a problem. So It's not going to be that accurate. So for that reason we have exp in one Which if I put in now, I mustn't put the zero minus one the negative one in there I must put what the value of x would have been in there So say zero point zero zero zero one if I put in there. I'm going to get a more accurate result Now we have the log function, which is the natural log. So base e So if I were to put in there the log of 100 just to show you that it's not log base 10 That we're going to get back, but we're getting back this log base e now I can specify the log that I want say I want log base 10 comma 100 So if I do two arguments there put the first one in it's going to force The first value there to force the issue is going to be log base 10 And now we're going to get back to you because 10 to the power 2 gives me 100 when you see here There's also log 2 and log 10. These are special functions that will do log Base 2 and log base 10 without you having to specify 2 or 10 but doing it this way You can specify any base and just as we had For something that's accurate when you get close to two x being zero. Yeah, so one plus zero point zero zero zero one So the log if I were to take the log of one point zero zero zero zero one It's going to be slightly inaccurate in in its calculation So I have the special function called log one P and now I have to put in the value of x in there So zero point zero zero zero one To that gets added one and it's that one plus one point zero zero zero one Which a log natural log? I'm taking and you get a much more you get an accurate value there Lastly for this little section. There are numerous special functions, which you can just use I've just listed a few here the error function the inverse of The inverse function of the error function or to the error function the gamma function the beta function They they are many many of them and few interested in advanced mathematics and eventually in this Series we'll get to using some of them. We'll get to know some of the more common Special functions, but they are indeed quite a few of them