Logarithms - The Easy Way!
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- Опубликовано: 26 май 2017
- This algebra 2 video tutorial provides a basic introduction of logarithms. It explains the process of evaluating logarithmic expressions without a calculator.
Logarithms - The Easy Way! • Logarithms - The Easy ...
Log to Exponential Form:
• Writing Logarithmic Eq...
Change of Base Formula:
• Change of Base Formula...
Change of Base Log Problem:
• Logarithms
Properties of Logarithms:
• Properties of Logarithms
____________________________________
Expanding Logarithmic Expressions:
• Expanding Logarithmic ...
Condensing Logarithmic Expressions:
• Condensing Logarithmic...
Natural Logarithms:
• Natural Logarithms
Solving Exponential Equations:
• Solving Exponential Eq...
Exponential Equations - Quadratic Form:
• Solving Exponential Eq...
_______________________________________
Solving Logarithmic Equations:
• Solving Logarithmic Eq...
Graphing Logarithmic Functions:
• Graphing Logarithmic F...
Graphing Exponential Functions:
• How To Graph Exponenti...
Compound Interest Word Problems:
• Compound Interest
Logarithms Practice Problems:
• Logarithms - Practice ...
_______________________________________
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Sir please can you tell me log 0.00005 ??🥺🤧
And log 1/0.00005 ?
@@diya__3092 -5 and 5
@@diya__3092 no.
there's something with this guys' voice that makes me easier to understand the lesson
lol
Jeruhh D yes, I agree
true
I wish the names for the different American accents and dialects were commonly known, that would be cool to know
the only flaw is the sharp noises when he talks
Who's still watching in 2024
A lot apparently
Me
I got a math test 💀
unfortunately, got a project where me and a group make 100smth problems🫡
I hate math lmao. Stupid ass class.
Funny how I didn’t understand this in a 1hour and 30 minute class but I can learn it in 10 minutes from this guy school is so useless
:)
Depends upon the teacher
PikachuBosss Bro my teacher is the worst I failed his class for two semesters but when I gave up on his and tried to learn shit by myself (by za internet) I literally got an A
Everyone has different learning styles. I know personally that have aced classes that many of my classmates struggled with, and conversely have struggled with classes that others seemed to have no issue with. The problem is that everyone in a classroom is just expected to learn the same way.
Kinang ina mo
I wish you could sit in on the bad math classes in the US. My professor took 2 days to explain this and made it sound impossible. You really are the best tutor on YT.
This new generation is lucky because it's easy to find best tallented and knowledgeable teachers on line and easy to get all information related to your study, assignments, workshops and any topic ideas.
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BRooooooo this is wild. I learned so much! My school's online learning site is such a waste of time. Why'd I just learn an entire unit in 10 mins. This is how education should be.
Exactly... I spent a whole hour studying this ads 22seconds into the video i understood!
@@prettygrlstarr totally true!
u didn't, u just memorized, do u remember it now?
@@Saytsee yes lol. It's not that hard to forget.
@@GemEditz did i ask u?
The first 31 seconds of this video taught me more than what I understood in class. Thanks so much!
True
loi elooooooo🤣
the first 32 for me
I took a college alg class at a community college. You were VASTLY superior to their instruction. I used your videos and got a 95 for my final grade. Oh! And I had been out of school for over 12 years.
Well done bro
Well done
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0:16 - FIRST EXAMPLE ---- " LOG _2 of 16 " is asking how many "2" s NEED to be MULTIPLIED to get to 16 , here we see that 2x2x2x2 = 16
so therefore " LOG_ 2 of 16 = 4 " because we need to multiply four "2"s to get 16 .
1:11 - log _4 of 1 - " log" of 1 is ALWAYS equal to ZERO
1:19 - LOG _ 7 of 7 , when BOTH numbers are the same the simply "cancel out" and will ALWAYS equal to "1 "
1:36 - What to do if you're not given a base ?? ( in this case , LOG of 1000) ** if you're NOT GIVEN a base , the base is ALWAYS assumed to be a "10". with that in mind LOG (1000) becomes >>>> LOG _10 (1000) AND LOG _ 10 (1000) = 3. , because 10x10x10 = 1000
2:17 - What about " LOG of 0.0001 " ??? * as previously discussed when we have no base its always assumed to be "10"
so LOG_10 (0.0001) = - 4 BECAUSE the " 1 " in " 0.0001 " is in the " ten thousandths " place and
10x10x10x10 = 10,000 BUT we know its NOT " Ten THOUSAND " its " Ten THOUSANDTHS " so instead of 10^ 4 its 10^ - 4
2:35 - QUICK REVIEW , and noticing the logarithm pattern
LOG of 1 = 0
LOG (10) = 1
LOG (100 )= 2
LOG (1000) = 3
LOG (10,000)= 4 *** notice how the number of "zeros" correlate with the number on the right ** for example " 10 ,000" has
FOUR " zeros " and LOG of 10.000 = 4
so with that in mind whats " LOG of 1,000 ,000 " ?? well we know that "1,000,000 : has SIX "zeros" in it , so therefore
" LOG of 1,000,000 = 6 "
3:28 - Logarithms with decimals ( further explained ) as discussed above the number of "zeros". directly correlate to the number on the "right"
so >>>>. LOG of 0.1 = - 1
LOG ( 0.01) = - 2
LOG ( 0.001) = - 3
LOG (0.0001) = - 4
4:04 - whats " 7 LOG _ 7 ( 38 ) ? , if you ever get this odd question on a test , SIMPLY CANCEL the two numbers out ( in this case we'll cancel the two 7's out ) and the answer will equal to the the other number ( in this case it will equal to = 38 ) so " 7 LOG _7 ( 38) becomes >>> LOG (38)
and LOG (38) = 38
4:51 - Working with fractions in a logarithm question EXAMPLE we know " log _ 3 of 9 = 2 " but how would our answer change if we had
LOG _ 3 ( 1/9 ) ?? Well , actually , "LOG _ 3 of ( 1/9) = -2 " * you have to flip the fraction( * *** And the NEGATIVE EXPONENT will cause
the "9" to move from the TOP to the BOTTOM ( 9/1 >>>> 1/9 )
5:35 - what if we flipped the numbers ?? if " Log _ 3 ( 9) = 2 " what's " Log 9 _ ( 3 ) " equal to ?? well SURPRISE SURPRISE there's a "2'" involved
" Log _ 9 ( 3 ) = 1/2 ) " * you have to move the "2 " from the TOP to the BOTTOM " ( 2/1 becomes >>> 1/2 )
5:54 -- whats " Log _ 9 ( 1/3 ) equal to ? well know that " Log _9 ( 3 ) = 1/2. (so knowing that we have to "flip" the fraction * turn 1/3 to 3/1 *
" Log _9 (1/3 ) = - 1/2 ** REMEMBER , a NEGATIVE exponent ALLOWS us to FLIP the fraction ***
6:06 - ANYTIME we have a fraction , our answer WILL be NEGATIVE , and anytime our "base" number is larger than the second number
EX : " Log _ 9 ( 3) our answer WILL be a FRACTION
6:44
7:07 - Review questions ( pause and try to answer questions )
8:57 - MORE practice questions . ( pause and try to answer questions )
thanks. much appreciated
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@Stack_Overflow i guess
Omg... Who is still watching this in may 2024 ????
I am
I am
Me
😢
Me
Literally omg
who's watching this 0.01 second before exam? 💀
Nah after I failed it and need to retake it
i am wachting it like 2 years before no exaggeration.
I got a test in 17 minutes 😂 thanks for the video.
The Viewer hope it went well!!
@@aimenarif2123 I got a C, but at least I passed
The Viewer but hey, there’s always another chance, good luck next time :)))
@@theviewer4314 they allowed phone inside lol
@@howmuchistoomuch It's a college class and I was watching the video before class even started.
-.-
i am brainfarting that my teacher couldnt explain this to me and you did it in 1 min...
nice job ^^
:):)
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I don't understand ANYTHING that my teacher says, but you always make everything crystal clear. Thank you
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Aaron Darity same
yes its very easy to understand from this video
The video makes so much sense
You're a math god, and i appreciate your help before my exam tomorrow
It’s 4 am and I’ve 500 hw problems to do ⚰️
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wtf 500 problems burh i feel for you nobody has that many homework problems i mean theres only so many you need to do until you understand...?
dildo baggins in college i have to do 200
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I’ve been learning this for two weeks and I finally understood it in one lesson from you
I just want to say THANKYOU. You are phenomenal at explaining things in a simpler way that I can understand. I was literally crying taking one of my tests for my college math class I am in. I would listen to the lesson over and over & still did not understand. I feel like the videos my teacher provides make it way more complicated than it needs to be. Anyways, you have saved my sanity.
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30 seconds in and I immediately understand logs. Why can't all youtubers be like this guy
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it's the way these are taught that makes it so much more digestable. he uses a show dont tell method rather than showing the formula with all the variables which just looks confusing, and rather he just does the problems and elevates them in difficulty so that there's an actual grasp to the practice rather than a focus of concept which i think is so much easier to learn from.
Thank you so much sir . I really appreciate you effort . You are really a great help for many students who are busy with kids and family life where they don’t neighbors time to spent on other resources to better understand the concept . You video and short and very well explained. I am praying so hard for your success and god will reward you for the service ❤🙏
I'm 67 and a college graduate from a well known university in California majoring in Biochemistry and biology. From what I remember, this is the most succinct explanation of Logs and how to work with the basic fundamentals! Thank you who ever your are!!
Thank you for this beautiful tutorial!
Thank you! You made this make sense so easy.
Excellent presentation, thank you !
amazing simple way of teaching logarithms!!! thanks!
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istg, my teacher posted a 1 hour 47 minutes video trying to explain this, and i got more confused that i was before, this dude was able to make me understand all of that shit in 10 minutes, damn.... your our hero istfg 😂😂
@Alpha Dog nope, 10th, mn wen enta?
I couldn't have found a better video, perfect for reviewing the concept after having learned it so long ago.
Thank you so much most math teachers are so terrible at explaining and always explain it like I already know how to do it and don’t tell me the little stuff like you do. I appreciate you
Thank you for saving me
On my test tomorrow
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I am so thankful of your help
Since I came across this video, logarithms has become easy for me.
THANK YOU
Thankyou, very well explained!
Thank you for this im writing further maths exam and I rally needed to learn logarithm
learned what i would spent years on and paid for in 60 minutes with taking notes. thank you so much!
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the first minute of the video taught me more than my teacher did in the entire week we studied the subject, thank you.
when you're watching this because the online math class that you were put in for this summer program is too hard so you don't understand anything in there so you have to watch yt videos to help you learn before you have to turn in an assignment due in two days...AHAHA that's me.
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Thank you, this was so helpful!
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Video is still helping me in 2020! Thanks
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Thanks for making this topic, very simple to understand 🙏🙏👍
Thanks for lessons. That's help me that more understanding school lesson.
Struggled with logs for YEARS, totally confused, totally unable to remember how it works. Just saying "How many times do you multiply 2 by itself to get 8?" i.e., "How many times do you multiply the base by itself to get the number?" -- it all just went "CHUNK" right into place and I was able to answer all your example problems before you worked through them! Amazing how just framing an explanation differently made all the difference (for me -- maybe your explanation wouldn't work at all for people who get logs easily by the other explanations). But THANKS! Subscribed and will let you help me tackle the other things in your series!
this helped me not get embarrassed from these questions
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As a hs freshie taking the accuplacer so she could take statistics second semester who also has no idea what log stood for 10 min ago this helped me sooooooooo much thank you sooo muchhhhh❤❤
He makes it so easier to understand 🔥👌
Explained very well.
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Hi
I understood this concept within a snap.....All my thanks to this video creator..
I think this guy has a teaching gift
Learned more about logarithm functions in 10 minutes, than in all of college algebra.
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This was awesome! Thank you for explaining so clearly!
this helped me so much thanks dude
Thank you for making logarithm formulas so easy
Informative and well delineated video, thank you.
Not currently learning logarithms as I'm not in that grade level yet but I was interested in them and wanted to understand them better. This video helped so much that I started to pick up what you meant in the first 2 minutes. Thanks for this.
same bro
Thank you! I am currently preparing for College Entrance Exams ❤
This was the best log intro vlog because it was the best organized and best presentation. Very well done.
Brilliant. Thanks a lot
Thank you , you explained really well
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You make the chapter more easy
Learned this in literally 2 minutes, thanks
thank you so much i understand all the maths know good nice day man