16 - Simplify Logarithms - Part 1 (Log Bases, Calculate Logarithms & More)

  Рет қаралды 84,887

Math and Science

Math and Science

4 жыл бұрын

More Lessons: www.MathAndScience.com
Twitter: / jasongibsonmath
In this lesson, you will learn how to simplify logarithms in expressions and in equations. We will learn that a logarithm (log) is really the inverse of an exponential. Because of this, the log expression can be written in exponential form. Writing a logarithm as an exponential function is the easiest way to calculate logarithms.

Пікірлер: 53
@deirdreberger1363
@deirdreberger1363 4 жыл бұрын
Your videos are crystal clear, and your format captivates the student’s attention and keeps him/her focused throughout. I told my daughter’s online precalculus teacher about you. Her teacher warned me at the beginning of the school year that the precalculus lesson plans were poorly developed: only a summary page and the option of two books. I’ve had to find teachers’ explanations solely online through KZfaq. You are emerging as one of the best. Besides your format, having multiple in-depth videos exploring a topic really integrates the topic. There are great teachers out there that explain well, but usually only a single comprehensive video is done on a topic. Meaning, there is no repetition. Those videos are fantastic, but I find those kind of videos are when the student is already familiar with the topic. I am going to have my daughter watch all your exponential and log videos when she finishes precalculus after she finishes in a couple of weeks because her current course exempted all students from logs and exponentials. So, she learned it in algebra 2, which she is foggy on, and the points you go over are exactly the thing she needs to be refreshed on. Your videos are better than a real-life teacher. My daughter’s older sister is home from Stanford (a STEM major). She has access to her sister and all her sister’s friends who are math majors (who she Skypes every day). She doesn’t bother because of KZfaq’s videos and especially yours which are slowly emerging as her favorite.
@MathAndScience
@MathAndScience 4 жыл бұрын
Thanks for the thoughtful comment. Yes I 100% agree. I do post a lot of full length lessons for free on youtube, but have a lot more on my site for the repetition. For example, if the topic is logarithms, I will post one on youtube and have part 2, 3, and 4 on my site. There is way more repetition that is needed to master these topics. I post on youtube for awareness, but also I enjoy helping students who may not have money to purchase a full course. Feel free to visit my website www.MathAndScience.com and you can see everything I have developed over the years. Thank you and take care and stay safe!
@ambrosearuwa9458
@ambrosearuwa9458 4 жыл бұрын
Stumbled on this video in my inbox, and it brought back memories, Sir, I actually used your tutorials to get through university, thanks alot. And your tutorials are very clear, especially for beginners, I believes my mom who didn't go to college can use your tutorials and graduate with a first class.
@ensafazzam790
@ensafazzam790 2 жыл бұрын
I use your tutorials to get through university Exams, your tutorials are very clear, especially for some one like me left collage about 15 years ago and now returned to study . so thank you
@setsunane5547
@setsunane5547 3 ай бұрын
THIS WAS SO HELPFUL THANK YOU SM
@keronfontanelle4325
@keronfontanelle4325 Жыл бұрын
Loving the way you are teaching this here rn
@IM-br1eb
@IM-br1eb 4 жыл бұрын
I actually enjoy maths now, Thanks
@lirenchan
@lirenchan Жыл бұрын
Great teaching, great lesson. Many thanks.
@vivianmulenga9775
@vivianmulenga9775 Жыл бұрын
God bless you so much 🙏. I now understand maths properly because of your videos may God 🙏 continue blessing you for us 🙏.. You are indeed our blessing.
@tresajessygeorge210
@tresajessygeorge210 7 ай бұрын
THANK YOU... SIR...!!!
@elahawaziri
@elahawaziri Жыл бұрын
you are a great teacher thanks very much and also its clear to you care your students and you explain every lesson very clearly
@squishyhombre8188
@squishyhombre8188 2 жыл бұрын
Gave me a much needed perspective on logarithm.
@ulysses_grant
@ulysses_grant Жыл бұрын
Arses were severely kicked in the lesson. This is amazing!!
@zbigniewbrzezinski8869
@zbigniewbrzezinski8869 4 жыл бұрын
You are wonderful. Thank you very much.
@astrophage8633
@astrophage8633 Жыл бұрын
Thank you, i love you
@e-understandingphysics
@e-understandingphysics 4 жыл бұрын
Very Nice examples..
@alicehou832
@alicehou832 3 жыл бұрын
Thank you for the lesson
@TrinhNguyen-hc6pz
@TrinhNguyen-hc6pz 4 жыл бұрын
Quite clear.
@rajkadam5160
@rajkadam5160 3 жыл бұрын
Thanks for explaining 👍
@MathAndScience
@MathAndScience 3 жыл бұрын
Happy to help!
@yuan6599
@yuan6599 4 жыл бұрын
Thank you so much
@bongumusamotha4080
@bongumusamotha4080 3 жыл бұрын
thank you sir GOD BLESS YOU
@milishadutta790
@milishadutta790 3 жыл бұрын
What if the base and root are different? Can you show us one ? For example log 5 as base and power as root 3..
@nmaluqman3408
@nmaluqman3408 3 жыл бұрын
Thank you 🙏 so much
@eugenepashch5213
@eugenepashch5213 3 жыл бұрын
Thanks!
@hemarajue2736
@hemarajue2736 4 жыл бұрын
Learn to understand Understand to see See to practice Practice to grow.
@MathAndScience
@MathAndScience 4 жыл бұрын
Yes!
@TrinhNguyen-hc6pz
@TrinhNguyen-hc6pz 4 жыл бұрын
Sounds like a sutra.
@user-ri6rn7ti5h
@user-ri6rn7ti5h 7 ай бұрын
Log5^125=1250 √3^√4 √5√^10 √1^2^2 √1^√5^√2. 2^2 √1^√1 2^2 (x+2x-2)
@JamesSarantidis
@JamesSarantidis 4 жыл бұрын
Sorry, for being off topic. I came here through your youtube add. Love both science and math. But I would like to know that Groovy Song you have on your KZfaq Add. Thank you in advance!!!
@ElvisTB
@ElvisTB 4 жыл бұрын
Does the base really not matter, when you want to get 1? I remember having heard that 0^0 is not really defined though it makes Sense saying it also is 1 regarding the behavior, when going to infinity. Remember that it is the same thing with saying that 0^x ist 0, which also find's its weak Point, when you take 0 for x.
@MathAndScience
@MathAndScience 4 жыл бұрын
I see what you are saying, but the thing here is you really can't have 0 as the base for a logarithm. The reason is that the log is the inverse of an exponential - it "comes from" the definition of an exponential function. You can't have a 0 as a base for an exponential function because if you did it wouldn't be exponential. Think about it, the function f(x) = 0^x if you were to graph it would not have an exponential shape. So basically the bases for logarithms are the same bases you can have for exponential functions. You need a base greater than 0, but the base can't be 1 either for similar reasons (the exponential 1^x isn't really exponential). I covered a lot of this back when I discussed exponential functions. Thank you! Jason
@ElvisTB
@ElvisTB 4 жыл бұрын
@@MathAndScience You are of course right and I die not think about the Definition Ränge of the logarithm. It is clear, that there is no log of 0. The limit would be -infinity :-D
@MathAndScience
@MathAndScience 4 жыл бұрын
ElvisTB no worries! Happy you liked the lesson!
@catherine1592
@catherine1592 Жыл бұрын
If you're getting to the root part, it's 8:36
@sayedyamashefa226
@sayedyamashefa226 Жыл бұрын
where is the 2nd part of this simplify Logarithms? I searched through the playlists but couldnt find
@user-ri6rn7ti5h
@user-ri6rn7ti5h 7 ай бұрын
Log3^1 =√3 1^1 (x+1x-1)
@nrynaa._
@nrynaa._ 3 жыл бұрын
Thank youu!!!
@frankemmanuel8607
@frankemmanuel8607 2 жыл бұрын
Helpful
@mkingasana400
@mkingasana400 4 жыл бұрын
thanks
@danieldominiak647
@danieldominiak647 4 жыл бұрын
Thank you
@MathAndScience
@MathAndScience 4 жыл бұрын
Welcome!
@enduranceinalegwu7130
@enduranceinalegwu7130 4 жыл бұрын
An interesting lesson how I do communicate with you one on one
@girmaybass68
@girmaybass68 2 жыл бұрын
Two Thumbs Up! Somehow I was not getting the LIKE button to work. For testing purposes, I clicked the Dislike and saw message "Feedback .. shared .. creator". Sorry about that but got the Like to work finally!
@hermitcard4494
@hermitcard4494 3 жыл бұрын
So, Log5, 125 means *"how many times I have to power 5 to get 125?"* 5(one)x 5(two)= 25, then 25 x5(three) = 125 *I had to power 5 three times.* Log5, 125= 3
@bryanchang2994
@bryanchang2994 3 жыл бұрын
Yes basically
@tajbibishamim8085
@tajbibishamim8085 Жыл бұрын
Last problem 7^7/3
@dohasami2646
@dohasami2646 4 жыл бұрын
I am Egyptian and my books are in Arabic could you help me to find ebooks in English to study
@charlespackwood
@charlespackwood 2 жыл бұрын
Staring at the problem is bad on a test. It is exponentially' bad (as a function of time), if it is a blank stare. Fellow nerds, 'live long and prosper'.
@qalinsooracademy8538
@qalinsooracademy8538 2 жыл бұрын
Good teacher! but, you have to show how to find the power of the logarithm. As you are you using factorizing.
@akaniokshe4765
@akaniokshe4765 2 жыл бұрын
Thank you so much
08 - Solving Exponential Equations - Part 1 - Solve for the Exponent
18:28
Now THIS is entertainment! 🤣
00:59
America's Got Talent
Рет қаралды 40 МЛН
НЫСАНА КОНЦЕРТ 2024
2:26:34
Нысана театры
Рет қаралды 756 М.
Amazing weight loss transformation !! 😱😱
00:24
Tibo InShape
Рет қаралды 58 МЛН
路飞太过分了,自己游泳。#海贼王#路飞
00:28
路飞与唐舞桐
Рет қаралды 13 МЛН
Why is the speed of light what it is? Maxwell equations visualized
13:19
Logarithm Change of Base Formula & Solving Log Equations - Part 1 - [7]
23:32
How to Fake a British Accent FAST
12:15
LetThemTalkTV
Рет қаралды 1,6 МЛН
Why native English speakers can't speak English!
23:45
John Zimmer
Рет қаралды 178 М.
What is the Riemann Hypothesis REALLY about?
28:33
HexagonVideos
Рет қаралды 566 М.
The History of the Natural Logarithm - How was it discovered?
18:21
Solving Logarithmic Equations
25:27
The Organic Chemistry Tutor
Рет қаралды 3,8 МЛН
How math saved my life | Jason Padgett
13:19
TED Archive
Рет қаралды 264 М.
Now THIS is entertainment! 🤣
00:59
America's Got Talent
Рет қаралды 40 МЛН