Might seem a little obvious, you're probably thinking, wellĢ to the third times 2 to the fifth is equal to 2 to But it does turn out thatģ plus 5 is equal to 8. And I'm not doing it justīecause I knew that 3 plus 5 is equal to 8. But if you don't know that, youĬould multiply it out yourself. Science major, you'll know that immediately. Is equal to 256? Well if you're a computer The- This is 5, right? And 2 to the what power 2 to what power is equal to 32? Let's see. That equals 3, right? Log base 2 of 8 is equal to 3. Is equal to 8, right? So this term right here, 2 to what power is equal to 8? Well 2 to the third power Of an intuition, I think, for what's going on around you.

Logarithm base 2 of what? Well we say 8 times 32. So, in theory, this shouldĮqual, if we believe this property, this should equal So let's say logarithm of baseĢ of- I don't know -of 8 plus logarithm base 2 of- Iĭon't know let's say -32. Out with some, well I don't know, examples. Now what does this meanĪnd how can we use it? Or let's just even try it Logarithm base b of c- and this only works if we The logarithm, let's say, ofĪny base- So let's just call the base- Let's Logarithm- Let me do a more cheerful color.

Out of this relationship and the regular exponent rules. To some interesting logarithm properties. Relationship, just stated in a different way.

And the second one, you knowĪ and you know that when you raise it to some So another way to write thisĮxact same relationship instead of writing the exponent, is So let's just do a littleīit of a review of just what a logarithm is. Made three or four videos that actually prove Of these properties are true and you want them proved, I've

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