Solving logarithmic equations | Exponential and logarithmic functions | Algebra II | Khan Academy

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Solving Logarithmic Equations
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Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you!
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
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Опубликовано:

23 окт 2024

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Комментарии : 105

@MWCapone 10 лет назад

Wow I watched all your videos on logarithms in the past 30 minutes. I learn and understood so much. I'm in pre - calculus as a senior now and I never understood logs. Now when my teacher goes over logs next semester I'll understand everything he will say. You should do more videos. I'm subscribing

@Zoms101 7 лет назад

Dude, he has an entire website with online courses. It's like a candy shop for n̶e̶r̶d̶s̶ people who wish to become smarter.

@GuardianDiancie 6 лет назад

ZGaming lol me rn

@zubayirhkazi9115 6 лет назад

Guardian Diancie xD

@zubayirhkazi9115 6 лет назад

Guardian Diancie me too😂

@Storymaker1316 6 лет назад

MWCapone literally me

@iloveyoutothemoonandback 9 лет назад

I cant get over how statisfying looking at your handwriting is. So neat,and um undescriable good looking :P Lovin hi res vid of Khan

@C4rb0neum 9 лет назад

+dixy pixy Imagine Khan 4K :O Satisfaction overload

@soorajsc46 4 года назад

This is still very helpful nine years later. That’s awesome!!!

@PenandPaperScience 2 года назад

It never get's out-of-date :)

@MultiMon15 9 лет назад

god bless you.

@amirsmathschool 3 года назад

It's pleasure to learn with Khan Academy. Thanks.

@emoalexisemoful 11 лет назад

@khanacademy is the reason i passed trigonometry,chemistry, physics and pre calculus.. i owe you so much @khanacademy thank you so much!!!!!!!!!!!

@kejeros 12 лет назад

Invisible man, thank you from the bottom of my logarithmically challenged heart.

@benjaminportzen6584 11 лет назад

KHAAAAAAAAN. THANK YOU.

@katkrasher Год назад

you explain things so short and simple it's amazing. Also nice that the background is dark so it doesn't hurt my eyes.

@Sanchitoooo 12 лет назад

thank you! for bein much faster and efficient

@gj9665 7 лет назад

Perfect video uses the 3 equations in one

@LONE-MUHAIB 3 года назад

Best teacher in the world............

@bentvk2248 7 лет назад

Khan Academy guy is a legend 👌

@haider4899 8 лет назад

THANKS MAN!!!!

@allisontpowell 7 лет назад

thank you sooo much for this! helps me out a lot

@JonLG490 9 лет назад

this is so cool.

@comicbest2662 5 лет назад

A comlete gift of god.has the ability to teach everything

@bookworm4276 7 лет назад

Thanks Mr.Khan.

@DownTopable 12 лет назад

Thank you very much for your videos

@cubicinfinity2 Год назад

In a few contexts, log means log base e instead of base 10. Of course, it would be better to use "ln" for that. An example is the programming language r. log just means ln and and log10 means log base 10. logb for any other base.

@syahrilmazlan487 5 лет назад

i very easy to understand it.. its a magically teaching skill did by you sir

@braidznplaitz 11 лет назад

best teacher in the world thank you so much mr.khan

@nuatomsen1107 6 лет назад

Thanks men ...

@charlesmullen8024 7 лет назад

Duly noted.

@yahya6158 8 лет назад

an amazing philanthropist, an amazing man and a kind hearted guy, i love sal khan.

@negeenashefa7264 6 лет назад

what, oh I get the joke!

@osedebame3522 4 года назад

Who’s sal khan?

@negeenashefa7264 6 лет назад

I learned so much!

@laffinglexi19 12 лет назад

Thank you so much.

@Reptilian5491 11 лет назад

every time I type in an algebra concept I look for a khan video right away

@gemini22581 7 месяцев назад

Logs are so satisfying

@BasicGamer-ww9yf 6 лет назад

Thank you

@nimawickramasinghe8221 10 лет назад

thank for high res

@carloscardenas9061 6 лет назад

Why divide 16 by 2 if you could combine like terms on one side of the equal sign and subtract ?

@vibrantrokrfan24 12 лет назад

Thanks. Helped me remember how to do logarithms

@xlus3 10 лет назад

awesome!

@Jeanjellybean13 10 лет назад

what if there is a number in front of the log? log3 x^2 = -2log3 4/5

@chantalperez6263 10 лет назад

you can make it into a exponent...for example if you have that -2 in front of log3....then make it log3^-2

@katarinaloe6658 9 лет назад

THANK YOU!!!!!!!!!!!!

@susi909 7 лет назад

I'm in class10 nd u make log so easy for me.Thnku sir

@glaciveestudios6170 4 года назад

You must have finished school this year right? Except for corona

@smugdodofart27 8 месяцев назад

thank you 12 year old video my math teacher talks about the AI uprising more than logarithms 🙏🙏🙏

@omarayman5318 9 лет назад

جزاك الله خيرا خان على الترجمة اتمنى ان تزيد من فيديوهاتك المترجمة ....شكرا

@karinanurlan5225 8 лет назад

what do i do if i have different bases. for example one of my base is 2 and the other is 1/2?

@hanseltgraelles1894 8 лет назад

Karina Nurlan change bases

@softcookies71696 11 лет назад

does he have a vid, if bases are different? :( But this one helped me so much ^^

@water6133 3 года назад

very late reply lol -if your bases are different, just simply turn the log form into the "index". Like: log_4 16 + log_3 9 = log_4 4^2 + log_3 3^2 = 2(1) + 2(1) =4

@jimverdalupan9510 2 года назад

@omsrisairamtraders9 4 года назад

Cool

@UnibrowMan111 10 лет назад

How do you solve logs with different bases? I know you use change of base, but I just need an explanation. Example: log4 16 = log2 32

@thesource6673 10 лет назад

log 4 16 can be written as log 2 in square 16 ( and now the bases are same ) sorry for my english!

@Pierseus 10 лет назад

Log to the base 4 of 16 equals 2 and log to the base 2 of 32 equals 5. That problem ends up saying 2=5 (which obviously isn't true.) sometimes by just looking at the logarithm, you can figure out an exact number/quantity it's equal to and go from there. I'm taking honors pre Calc as a high school sophomore, and I can't be of much help, but I hope that somewhat helps and gives you another way to analyze them. I have my finals tomorrow as a matter of fact. That's why I looked this up. Haha

@agentpolarbear6312 4 года назад

My class uses this

@unpopuIaropinion 7 лет назад

We gave an equation "M= m + 5 log (d) +5" and we want to make "d" the subject. how ?

@bruhhhh3889 10 месяцев назад

Better than my teacher

@bodaciousianhiemer7527 2 года назад

I was so close to punching a hole in every surface of my room but then his beautiful voice came on and told me “it’s all ok now, there’s always a 10 by log if there’s no variable” I proceeded with ease and comfort

@alexfremke2265 8 лет назад

I'm in grade 9 and this is so cool

@dylanhahn2002 11 лет назад

my math teacher stutters... nuff said

@sabrinasykes5480 5 лет назад

wow and here i thought this gonna be difficult...

@johnsongeorge3268 7 лет назад

log exam + log khan academy= pass

@dr_science8813 3 года назад

my hero 🧡

@marielalfonso5083 11 лет назад

Thank you! God bless you! :))

@karlevanbanayos3300 Год назад

Karl Evan Banayos - STEM 103

@fatimaahmad8702 11 лет назад

I like the colors

@kaaphkaa 10 лет назад

Just having some trouble with something that might be trivial but nevertheless any help would be appreciated. y=log10 8

@wrenerickson5102 10 лет назад

well from what i know this will be a very large decimal now assuming you can't use a calculator you would probably simplify it y=log10(8) y=(log(8)/log(10)) y=(3log(2)/log(10)) y=(3log(2)/log(2)+log(5)) otherwise a calculator will suffice

@ManinulatorXoX Год назад

Pelongco Vince Carl L. - STEM 103

@dallas6852 11 лет назад

You're perfect, thank you so much!(':

@SuperThebestdamnthin 12 лет назад

i love you man

@spiderjump 7 лет назад

how does one calculate 2 to the power 4.5?

@Zoms101 7 лет назад

I don't know, but wikiHow does: www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=2&cad=rja&uact=8&ved=0ahUKEwjHhc_S56fVAhVo74MKHQyqBc4QFggqMAE&url=http%3A%2F%2Fwww.wikihow.com%2FSolve-Decimal-Exponents&usg=AFQjCNFxx64e7RH4MLJ4jKMt_XQ7rVr5Kg

@johnsongeorge3268 7 лет назад

yesssssss pass

@JoelChibuye-g3b Год назад

❤

@sunscreen7205 8 лет назад

Thanx alot dude since my Math teacher is kinda bad at teaching also, she's just 4 years older than that's why I can't take her seriously...

@85mageproductz 8 лет назад

Quit being egotistical! If she was 4 years old but she knew more about math than you, you should take the opportunity to learn from her...

@sunscreen7205 8 лет назад

Ben I'm sure you'll see how egotistical I am from all the complaints from other students' parents.

@d4noxlamentasyon269 4 года назад

November 24, 2019. Anyone?

@TrevorKyrosTran 12 лет назад

I just watched one of your videos from 2007, then watched this one. How did your writing get so much better? LOL

@atharvachilwarwar978 7 лет назад

epic

@MisterTwiin 12 лет назад

You are beautiful. Thank you.

@martinnolin6439 9 лет назад

You don't need to know the base, because there are no 10's in the solution. Also, some people use log for base e as a standard.

@nakajimasara 8 лет назад

Almost all calculators have a standard base of 10 for Log. And people use Ln for base e, not Log.

@MatildaEvans-n6o Год назад

i love you

@hunterroberts9283 11 лет назад

you cant take the log base anything of a negative number because it doesn't have a solution

@atharvadeshmukh2689 6 лет назад

Anyone from 2017 ?

@lovejesuschristlovejesus3398 5 лет назад

Why 10 ?

@cubicinfinity2 Год назад

10 is a good standard because we write numbers usually in base 10. on a log 10 scale, 1000000 (1 million) becomes 6 and 1000 becomes 3. It makes graphs and stuff easier to interpret. That being said, another really common base is e (Euler's constant). Usually for base e, you write "ln" for "natural log", but I'll warn there are some rare cases when "log" actually means "ln".