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

Solving Logarithmic Equations
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[@iloveyoutothemoonandback]

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]

+dixy pixy Imagine Khan 4K :O Satisfaction overload

[@MultiMon15]

god bless you.

[@MWCapone]

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]

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

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Guardian Diancie xD

[@zubayirhkazi9115]

Guardian Diancie me too😂

[@Storymaker1316]

MWCapone literally me

[@soorajscousik]

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

[@PenandPaperScience]

It never get's out-of-date :)

[@emoalexisemoful]

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

[@amirsmathschool]

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

[@benjaminportzen6584]

KHAAAAAAAAN. THANK YOU.

[@kejeros]

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

[@allisontpowell]

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

[@bentvk2248]

Khan Academy guy is a legend 👌

[@gj9665]

Perfect video uses the 3 equations in one

[@JonLG490]

this is so cool.

[@syahrilmazlan487]

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

[@Sanchitoooo]

thank you! for bein much faster and efficient

[@katkrasher]

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

[@negeenashefa7264]

I learned so much!

[@haider4899]

THANKS MAN!!!!

[@vibrantrokrfan24]

Thanks. Helped me remember how to do logarithms

[@braidznplaitz]

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

[@DownTopable]

Thank you very much for your videos

[@nuatomsen1107]

Thanks men ...

[@bookworm4276]

Thanks Mr.Khan.

[@nimawickramasinghe8221]

thank for high res

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Thank you! God bless you! :))

[@xlus3]

awesome!

[@comicbest2662]

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

[@LONE-MUHAIB]

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

[@cubicinfinity2]

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.

[@laffinglexi19]

Thank you so much.

[@bodaciousianhiemer7527]

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

[@dallas6852]

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

[@charlesmullen8024]

Duly noted.

[@BasicGamer-ww9yf]

Thank you

[@Reptilian5491]

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

[@katarinaloe6658]

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

[@johnsongeorge3268]

log exam + log khan academy= pass

[@susi909]

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

[@glaciveestudios6170]

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

[@yahya6158]

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

[@negeenashefa7264]

what, oh I get the joke!

[@osedebame3522]

Who’s sal khan?

[@dylanhahn2002]

my math teacher stutters... nuff said

[@gemini22581]

Logs are so satisfying

[@alexfremke2265]

I'm in grade 9 and this is so cool

[@smugdodofart27]

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

[@sabrinasykes5480]

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

[@johnsongeorge3268]

yesssssss pass

[@agentpolarbear6312]

My class uses this

[@omsrisairamtraders9]

Cool

[@SuperThebestdamnthin]

i love you man

[@bruhhhh3889]

Better than my teacher

[@dr_science8813]

my hero 🧡

[@fatimaahmad8702]

I like the colors

[@carloscardenas9061]

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

[@softcookies71696]

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

[@water6133]

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

[@Jeanjellybean13]

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

[@chantalperez6263]

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

[@jimverdalupan9510]

ow

[@karlevanbanayos3300]

Karl Evan Banayos - STEM 103

[@karinanurlan5225]

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

[@hanseltgraelles1894]

Karina Nurlan change bases

[@atharvachilwarwar978]

epic

[@user-we7jp5cc8e]

❤

[@ManinulatorXoX]

Pelongco Vince Carl L. - STEM 103

[@omarayman5318]

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

[@d4noxlamentasyon269]

November 24, 2019. Anyone?

[@UnibrowMan111]

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]

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

[@Pierseus]

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

[@unpopuIaropinion]

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

[@kaaphkaa]

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

[@wrenerickson5102]

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

[@MisterTwiin]

You are beautiful. Thank you.

[@TrevorKyrosTran]

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

[@user-gu8gk1wz6m]

i love you

[@spiderjump]

how does one calculate 2 to the power 4.5?

[@Zoms101]

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

[@sunscreen7205]

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]

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]

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

[@TheNicolombiano77]

first!!!

[@martinnolin6439]

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]

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

[@isaacg.1185]

Lol, screw MindBites.

[@hunterroberts9283]

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

[@angelaong66]

...

[@atharvadeshmukh2689]

Anyone from 2017 ?

[@lovejesuschristlovejesus3398]

Why 10 ?

[@cubicinfinity2]

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".

[@Nenmeu2]

But why do you put 10 ?

[@TheMilkManCow]

When you don't have a base already stated then it is assumed to be 10.

[@NovaplaysDS]

because log 10 equals x as the opposite of exponents

[@cubicinfinity2]

10 is a convenient number that makes it easier for people to interpret data since we write numbers normally in base 10.