Solving Exponential Equations Using Logarithms & The Quadratic Formula

[@TheOrganicChemistryTutor]

Exponents - Formula Sheet: bit.ly/4ehTaPN Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Math & Science Videos: www.patreon.com/mathsciencetutor/collections Next Video: kzbin.info/www/bejne/nJ_Ld6GbhN9ppJo

[@jonathan-ww3sx]

I really like how he repeats the concepts and properties to remind us. It's actually really helpful and not repetitive. It's great practice.

[@alfonsomaurice7421]

Sorry to be offtopic but does anyone know of a way to get back into an instagram account..? I stupidly lost my account password. I appreciate any assistance you can offer me!

[@gordonpayton4846]

@Alfonso Maurice instablaster ;)

[@alfonsomaurice7421]

@Gordon Payton i really appreciate your reply. I got to the site on google and Im waiting for the hacking stuff atm. I see it takes quite some time so I will get back to you later when my account password hopefully is recovered.

[@alfonsomaurice7421]

@Gordon Payton It worked and I finally got access to my account again. I am so happy:D Thanks so much, you really help me out :D

[@gordonpayton4846]

@Alfonso Maurice no problem :D

[@zanemiracle6121]

I saw this on flammable maths, I'm glad this channel is showing it too!

[@krishivkothari5971]

thats what I was going to comment

[@z_.v]

same

[@maxamedaxmedn6380]

Ommm my god stop fucccccking lyyyyying

[@davidsweeney111]

Zane Miracle papa flamy channel was hacked

[@onefaith386]

Math lover here😊

[@maxamedaxmedn6380]

Yes i saw this example before many times but at this time actually i understood it very well because you explain things in a very understandable way

[@innovbrain]

Ohhh thank you soo soo much finally someone who said we can divide x exponentials and get them subtracted. I consulted over 40 exponential equation videos and they all complicated the problem solving to an extent that no one allowed the exponentials division method. Thank youu

[@hannukoistinen5329]

:):)!! Keep up your good work!!!

[@georgesadler7830]

MR. Organic Chemistry, thank you for another video on Solving Exponential Equations.

[@ardenkwong5299]

You also just proved phi plus phi squared equals phi cubed!!! Congratulations Golden Ratio fans!

[@swatitripathi9663]

9:45 Just in case someone needs a linear equation for it : x = ((log((1+√5)÷2)÷log(2))

[@beanbean9019]

I just wanna say thank you and I love u man❤

[@jcers]

This solution is so, so, golden

[@tyronekim3506]

Very cool tutorial. Thanks.

[@eddjon]

By definition of the log you can also skip the division by log(2) by converting x= log(y) in base 2; in Excel: =LOG((1+SQRT(5))/2;2)

[@georgesbv1]

one can even get rid of division: x = log2(1+sqrt(5))-1

[@bigshaqsmathematicalinstit3318]

This is good practice for students taking elementary algebra!

[@di-riso]

Elementary?!? Wtf u talking about

[@Bostologia]

@@di-riso if u dont know this is elementary algebra, believe it or not, algebra is a lot more complicated than just a exponential equation and logarithm

[@sanopann1896]

are you serious did you skip elementary@@di-riso

[@di-riso]

I actually found it quite easy and now I am doing calculus what I was saying is they don't teach you this in elementary school,there was a language barrier as when you put "elementary" before a subject in my language then that means that it's taught in the grades 1 through 5

[@mathematicsmi]

Good job 👍

[@jrswizzle688]

I took pre cal dual credit last year and I mastered it completely and looking at this now I’m forgetting all the rules that goes to these things, im afraid I’ll forget all of this 😂

[@cadkls]

Practice it over time. Don't just master it in a short period of time, these things require experience to commit to memory.

[@jrswizzle688]

cadkls you’re right

[@sail2byzantium]

Excellent! Thanks for this--very helpful.

[@dawnadmin8119]

Nice! Next time, you might leave the substitution for y up while it’s still being used, for clarity. You might also have simplified the symbolic solution using the change-of-base theorem, to log_2 [(1+√5))/2]. or using the ɸ (phi) symbol for the Golden Ratio that you mentioned and Donald Knuth's notation lg for the binary logarithm that is so important in computer science, lg ɸ - 1.

[@Dumb-Comment]

The further it goes the more confusing it gets

[@mastershooter64]

Lol don't worry mah man just rewatch it you'll understand

[@zissler1]

It’s alright bruh you’ll get it

[@krachenford9594]

Same, as with marriage . . .

[@mudassarm30]

it was so easy ... the channel, Mind your decisions gives more challenging problems.

[@italixgaming915]

Solving this in C is a bit more challenging: 2^x+4^x=8^x 2^x+2^(2x)=2^(3x) 2^x+(2^x)²=(2^x)^3 If y=2^x we have: y+y²=y^3 So y=0 or y²-y-1=0 The solutions for y are: 0,(1+sqrt(5))/2, (1-sqrt(5))/2 2^x=0 has no solution. 2^x=(1+sqrt(5))/2 has a real solution which is log((1+sqrt(5))/2)/log(2). 2^x=(1-sqrt(5))/2 has no solutions in R but you can solve this in C. (1-sqrt(5))/2=-i².(sqrt(5)-1)/2=e^(i.(2k+1).pi).e^(log(sqrt(5)-1)/2)=e^(log(sqrt(5)-1)/2)+i.(2k+1).pi) (k is an relative integer ) So e^(log(2)x)=e^(log(sqrt(5)-1)/2)+i.(2k+1).pi) x=(log(sqrt(5)-1)/2)+i.(2k+1).pi)/log(2)

[@에스피-z2g]

2^x=t, t>0 t^3-t^2-t=0 t(t^2-t-1)=0 t>0, t=(1+rt5)/2 2^x=(1+rt5)/2 x=log_2[(1+rt5)/2]

[@johubify]

DUDE, FLAMMABLE MATHS GOT HACKED, PLEASE SPREAD AWARENESS

[@zachh6868]

When an add in the middle of a math youtube video disses math youtube videos... It's like getting paid to have your competition advertise in your video.

[@SAHIRVLOGCLP]

Thank you for your sharing

[@unusaurus9714]

that last question is just "don't judge a book by it's cover"

[@paulocarvalho914]

Matemática, linguagem universal.

[@Howto-ps3rm]

1:57 ... why did you divide the numbers with 2^x but not other number

[@박제니-h8i]

I'm studying this and I'm 9yo!

[@thelonelysponge5029]

Its because Asians are generally more smarter then most people

[@mastershooter64]

Damn everyone is sensitive and wanna feel like they're the smartest person in the room lol everyone's so butthurt about this one comment lol i love humanity

[@Mralways]

Good job you will be successful in the future well done kid

[@njgskgkensidukukibnalt7372]

박제니 r/youngpeopleyoutube

[@cadkls]

@@mastershooter64 nothing to do with that Intelligent people don't need to brag about intelligence. Their actions speak for themselves. This person is not 9.

[@sanopann1896]

at 2:47 why it was 1 and not 2^1 I'm confused

[@BabySagan]

horribly confusing for me

[@srinathb4742]

what is log ((2^x)+1) any help?? please

[@davidsweeney111]

Excellent

[@kujmous]

log base 2 of phi?

[@JoeTaxpayer]

Am I mistaken? I got 1.1868 - did you round wrong or did I?

[@tae4thehyun]

4:13 I understand everything except this what is the right hand side thing, is it a formula?

[@AJ-uz5hr]

yes it is a formula used to find variables in quadratic equation like if you want to find x in : x^2+5x+6=0....... then you can use the formula, the name of the formula is shridharacharya formula

[@harisazharibinzaharudin2079]

i saw phi right there..

[@krachenford9594]

Sehr gut!

[@Jimmy-tv8tv]

Can you solve 3^x+4^x=5 ^x

[@pharaohobame6187]

X = 2

[@Jimmy-tv8tv]

@@pharaohobame6187 step by step

[@bilsonmathew7860]

Could you please give some examples where these equations which we need to use other than in some exams. it would be great

[@cadkls]

Plenty exponential equations in physics Nuclear decay equationnis a good example. Not all maths is for everyday life, a lot is usually mostly just applicable to physics

[@paulocarvalho914]

Através da HP-50g é fácil rsrsrs, graficamente, encontrei valor aproximado.

[@Fmacian59]

Has trabajado con el número áureo phi=(1+sqr5) /2

[@anthonyvan35]

passive !

[@dayarathnamunasinghe8444]

A spring placed on a horizontal surface.A 1 kg mass hit with it and spring shinked 4 m.calculate speed of mass if constant of kinetic friction is 0.25 and constant of spring is 2 N/m

[@cadkls]

No

[@MrIbrahimabutouq]

👍👍👍👍

[@attaboy185]

Ur like the lebron James of math teachers

[@박제니-h8i]

Second place

[@glosan]

It's very hard to understand 🤣🤣🤣

[@bidarvandi]

if you are interested you will undersyand math takes time it is just like watching movie in your free time.

[@italixgaming915]

This problem is elementary: 2^x+4^x=8^x 2^x+2^(2x)=2^(3x) 2^x+(2^x)²=(2^x)^3 If y=2^x we have: y+y²=y^3 So y=0 or y²-y-1=0 The solutions for y are: 0,(1+sqrt(5))/2, (1-sqrt(5))/2 2^x=0 has no solution. 2^x=(1+sqrt(5))/2 has a real solution which is log((1+sqrt(5))/2)/log(2). 2^x=(1-sqrt(5))/2 has no solutions in R but you can solve this in C. (1-sqrt(5))/2=-i².(sqrt(5)-1)/2=e^(i.(2k+1).pi).e^(log(sqrt(5)-1)/2)=e^(log(sqrt(5)-1)/2)+i.(2k+1).pi) (k is an relative integer ) So e^(log(2)x)=e^(log(sqrt(5)-1)/2)+i.(2k+1).pi) x=(log(sqrt(5)-1)/2)+i.(2k+1).pi)/log(2)

[@soracandles1979]

First

[@박제니-h8i]

Soooooo lucky!!!

[@cristianomoschella7715]

x+2x=3x 3x =3x x=1

[@superheavydeathmetal]

For 3x = 3x, x can be any number, not just 1. But, if you plug 1 into the original equation, you get 2^1 + 4^1 = 8^1 ... 2 + 4 = 8 ... and that is not correct.

[@shaistabadar3529]

America ki apni oqat haqiqat

[@shaistabadar3529]

Qabool ho

[@benjaminkarazi968]

Hello, The fundamentals of this problem are wrong. There are many answers to the problem; nevertheless, they all are fallacies. x=-1.6580e³, x=-1.658001e³, x=-1.65808713446e³...→∞

[@ЄвгеніяШеменьова]

+++

[@onlythewise1]

learn the language first