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4-8 AIM3 8.1 Getting Started

Added Apr 08, 2024 •

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For class on Thursday, April 11. We begin to further explore exponential and logarithmic functions.

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hello everybody I just want you to quickly review some exponent rules you've met previously is this chapter deals with exponential and logarithmic functions and there's a certain relationship between them but before we jump into it just let's take a look yourself what do you remember you might want to pause a video and see if you can actually fill in which I would I have hidden beneath these boxes and see how you do on that okay so multiplying with the bases the same which is the understanding him these bases are the same so for multiplying we add exponents we have a power to a power we X that also means of course since 8 Bisbee times a day we could rename x to the a to the B is X to the beat of yay for reasons of the commutative property x to the zero well anything's is there was one of three more about 02 0 in a few minutes if we're dividing we subtract the exponents something to a negative power tip when she heard this one over the base to the positive and every now and then you might actually want to do it the other way I wonder if wanted to rename x to the positive in well could be one over x to the negative n Emma just as reminder books almost never show you this they make you do it the long way which is based on our relationship here but I was just I would encourage you to use the following shortcut if you have some quotient of fraction raised to a negative power well of course you do 1 / the quotient to the positive power and take care of our rules of Dying by fractions turns out X over y the Negev a just turned off the Y over x to the positive Ace we can make that switch immediately is no reason to go through the whole process if you're unclear I well last year do we have here here I am play White true that A over B the negative actions be over 80 x you can just go through my my discussion here you have just done some examples of why multiplying since suggested we should add the exponents and powers multiplying and so on and then there's a video on numberphile but I was having some troubles getting it can record so I won't be able to show it to you at least not in here crafts in class ay02 the zero lead to problems and why X20 makes sense to call at 1 whether you think of what happens when you divide in by X for example here x Cube / X he would be x squared x squared / X actually first but then by the same reasoning x to the first / actually give us extra 20 but also x / X is something divided by self set should be one that suggests one famous Exit Zero or we could use our quotient rule / XDA should be actually a minus a which is actually zero but again something vital by itself as one again we get one equals x 20 in any case the X1 will be helpful to US during this chapter and Beyond of course I already take care

Uploaded by Brian Macky.

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