16 - Simplify Logarithms - Part 1 (Log Bases, Calculate Logarithms & More) - Free Educational videos for Students in K-12

16 - Simplify Logarithms - Part 1 (Log Bases, Calculate Logarithms & More) - By Math and Science

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00:00	Hello . Welcome back . The title of this lesson
00:02	is called Simplifying logarithms . This is part one of
00:05	several . Up until this point we have covered the
00:07	concept of the exponential function . You should have already
00:10	watched a lesson on what an exponential function is .
00:12	It's a number raised to a power of the variables
00:15	such as like for instance to to the X .
00:17	3 to the X . Those are exponential functions .
00:19	We've also covered in great detail the concept of al
00:22	algorithm . The algorithm is the inverse function of the
00:26	exponential function . So you also should have learned in
00:28	the past lessons on what an inverse function is .
00:31	So long algorithm , an exponential function go together like
00:34	peanut butter and jelly there in verses of one another
00:36	. So there's two things I want you to remember
00:38	in the back of your mind as we go and
00:40	we start simplifying logarithms and really applying the definition of
00:43	the law algorithm . The first thing is I want
00:45	you to always remember that a law algorithm is the
00:47	inverse function . It's kind of the opposite function of
00:49	an exponential and likewise the exponential is an opposite function
00:52	of algorithm . So later on down the road we're
00:55	gonna use exponential and logarithms to undo each other .
00:58	We're gonna use them to solve equations because we can
01:00	undo those those functions with the universe function , right
01:04	? And the second thing is I want you to
01:06	understand that a lot algorithm when you calculate what it's
01:10	doing , it's giving you back an exponent . We
01:12	talked about that in the last lesson when we introduce
01:14	logarithms . When you calculate the algorithm of 10 algorithm
01:18	based two of 15 or log rhythm based five of
01:21	nine or whatever the calculation you get back is ,
01:23	it's returning the exponent back . The exponent required to
01:26	calculate that number that you're taking the log rhythm of
01:30	. So here we go , simplifying some logs .
01:32	I want you to remember both of those things which
01:34	you've covered in the past .

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