Solving Exponential Equation

[@Snoozpheus]

This channel is crazy!! I’ve been reviewing your shorts for when I return to college in the fall semester, and may I just say that you have explained everything so simply it feels almost natural. Thank you for this, I may just graduate in time because of your assistance. Edit: People in the replies need to touchup their reading and critical thinking skills.

[@mrhtutoring]

Your comment means a lot to me. Thanks!

[@asthasharma3599]

I guess then you never get good teacher in ur whole life😂

[@Snoozpheus]

@@asthasharma3599 Not true, I had great teachers in high school. I did two years of college out of high school and then traveled for five years. So I lost a lot of it lol. Now I’m going back.

[@notnemeziz]

Ur learning this in college ?? Where are you from...in my area ppl learn log by the end the 10th grade and can do these questions in a heartbeat...i just passed 12th grade btw...will join college next month (im 17 as of this month)

[@Snoozpheus]

@@notnemeziz No, I learned in middle school and hs. As I said in the original comment I am “reviewing” these shorts. Take a 5 year break to travel and you’d be in a similar position as I am, for having not used any academic math during that period.

[@Ghost-we7yo]

I've watched a few videos so far and I'm just now noticing how jacked this guy is.

[@mrhtutoring]

Thanks for the compliment!

[@adriant4479]

This channel is actually so helpful omg

[@foff9275]

Your knowledge and your passion really comes through the video. I wish you were my professor.

[@lee_ji-soo]

thank you so much mr.H now I can understand this and I have no problems in class anymore I got 98 points in the classwork (sorry if my English is bad I can't speak English well I hope you can understand what I said )by the way we are watching videos from your channel in math with our teacher thank you again and bye love from South Korea

[@shortydancer]

I would have gone a step further and shown the change of base formula

[@mrhtutoring]

Unfortunately, KZbin shorts only allows 60 seconds.

[@rkidy]

You could have just used log base 2 from the beginning instead of using base 10 and changing to base 2

[@shortydancer]

@@rkidy the issue with this is that most calculators don’t have a button for log base 2

[@sanasanzala9170]

Wow 😲 what a great explainer

[@eggnamaa]

Bro the math is cool and all but goddamnnnnn. U jacked af

[@Vawltt]

Thank you so much MrH. These videos are amazing.

[@mrhtutoring]

Thank you for the very nice comment.

[@caroleastmond9064]

Smart, good looking Math guy, thanks for all those math equation solving shortcuts, thanks!!!

[@Ivan_mh]

Wonderful 👍

[@agnidas5816]

I noticed that you look like you're 6 weeks out from winning a natural amateur bodybuilding show too lol. You know he applies those maths skills to his routine and his diet... You can actually use basic calculus to help you devise better progression if you track everything :P He probably does...

[@chemistryguider1088]

Excellent sir thanks a lot

[@mrhtutoring]

Most welcome

[@rickzeroX]

These make math feel more exiting to me.

[@mauricioliborio8381]

Flawless, as usual, professor...

[@mrhtutoring]

Thank you~

[@Kallcito]

Me understanding this video better than my classes even though English isn't my first language-

[@J.ROD_CLASSIFIED]

That's because mathematics is universal, that's what makes it so special

[@UnMisanthropeCynique]

​@@J.ROD_CLASSIFIEDindeed

[@midmeh]

@@J.ROD_CLASSIFIEDmath is truly fascinating

[@isjjcjw]

Literally the most yolked math teacher I have seen.

[@shannonhawk1431]

I wish teachers would give a real world application why this is usefully in any type of career

[@mrhtutoring]

To become an engineer, you need to learn and know calculus. To understand calculus, you need math such as this

[@afrankiuk78]

He's got a big brain and some sweet biceps 💪

[@illG8i]

not the place or time to try to make a move

[@michaelanonymous3104]

​@@illG8imake a move? Bro he's just praising his biceps

[@chillguy-DayInTheLife]

Sorry for the unrelated question, but do you lift? You look so strong, a sleeper physique maybe?

[@mrhtutoring]

I lift couple times a week. Thanks. 😊

[@cegexen8191]

2^(3x) is also (2^3)^x by the exponent rule, so you get 8^x = 34, take the log base 8 on both sides and get your answer

[@davidaktun]

easier

[@waqarsyed01]

yes your sets are correct, but steps in the video at 0:52 are not clear as well

[@taslima3221]

omg thank u so much my exams tmr and this helped a lot !!!!!!

[@mrhtutoring]

Glad it helped!

[@TheSimple46]

Simple 👍

[@keehangchuah161]

bros jacked

[@iaboody6078]

Just use log base 2 the 2 cancels out and then you will get 3x=logb2(34), then divide both sides by 3 youll get x=logb2(34 all over 3

[@TheGamingPalace123]

His forearm is amazinggg

[@09LEE01]

Thank you so muuuuch!! My subject teacher only gives the easy examples 😅 While the difficult ones on the exams 😭

[@averagejojofan8649]

Variables in the exponents look scary but they are crazy easy to solve

[@Motivate_urself123]

Great explanation 😊

[@christianmosquera9044]

Excellent video

[@scoutsniper762]

Fantastic explanation!

[@mrhtutoring]

Thank you~

[@deimos5177]

I wish I saw this Channel when I first enter university

[@sumita._sharma4414]

Please give trick for IIT JEE maths problem 😊

[@shivbhakti-qi9mk]

Thanks sir 👍🇮🇳

[@Rorablink]

I searched for this kind of example for a long time and finally found it😢😊

[@аваываываываываываыв]

If you mind your way further and take the simplest solution you can solve the equation faster: 2^3x=34 2^3x=2^log_2(34) 3x=log_2(34) x=log_2(34) / 3 x= log 34/ (3*log2) (by log you may take any real, not a 0, bigger than 1 (such a e, 10 etc.))

[@dmshot48]

Damn bro got that tricep by just writing on the board

[@mrhtutoring]

💪

[@mordracania]

If this was my Math teacher back then, I would definitely stay over at his place for extra lessons.

[@broxxad]

"extra lessons" eh?

[@nandinii.]

@@broxxad ikr hehehe

[@cypher8434]

Just wait for him when he starts teaching indefinite integration jee adv

[@Spy_boys]

Ayo....@@nandinii.

[@chillboy.x]

ayo pause

[@ZennLa]

Holy cow. Is that Mr H. Is that professor Leonard? Haha 💪🏽

[@patriciaceli1536]

Muchísimas.gracias!!! Excelente!

[@DrDeuteron]

I like the base 2 method, since 3x = lb(34) = lb(32+2) = 5lb(1+1/16) ~ 5 + small number. Would work on a lame multiple choice exam.

[@thesusmongus]

Before I've lesrnt about logarithmic functions, i thought it was so cool putting log or ln on both sides. Turns out, switchi ng from expo to logarithmic is much better imo.

[@sIeepstudy]

i would just instantly equate 3x= logbase2(34)

[@SATUR44]

Lucid explanation sir 🙏

[@ross3818]

Beautiful explanation. PS keep the chalk!

[@imattultra1623]

Is it not easier to use log base 2? Then 3x = log2(34) x = (log2(34))/3

[@chrisalex82]

:0 I cant wait to see this

[@Aditya_196]

U can approximate it easily as well in your head logbase2 ( 34 )/3 ≈ 5 . 07 /3 ≈ 1 . 69 For approximation I did it like this Logbase2 (32) = 5 ..... (Reason : 2⁵ = 32 ) Logbase2 (64) = 6 ... The difference between 64 and 32 is 32 We have to find Logbase2 (34) which is 2 / 32 greater than 32 So it must be around 5.0625 but since log function increases with a rapid rate at the initial point and decreases later on so Logbase2 (34) must be something greater than that like 5.07 or 5.08

[@Billyehaynes]

He knows everything. EVERYTHING!

[@shivgurujagadeesan3535]

also x=log(34-2^(3))....... since dividing log values can be used as subtraction of value in a single log

[@jmich7]

So very cool indeed. And there are other approaches to seeing this equation.

[@tameen3907]

You can also do log base 2 (34) / 3 which gives you X.

[@Sylbabe]

he literally did that

[@pleromafamily628]

This is the first video where I leave more confused than I entered. Not for the first answer, but the second

[@mrhtutoring]

Second answer is directly from using the definition of logarithm.

[@tux1968]

@@mrhtutoring It would have been easier to understand if you didn't flip the sides of the equation when translating to the log form.

[@df27d]

I can see the class stressed about the test now😂

[@Kal-El_]

Love this guy❤

[@all_techz]

I am not good at maths but i just wanted to ask why can't we write 34 as 32+2 = 2⁵+2¹. So now we would have, 2^(3x) = 2^(5) + 2^(1). And then can we say that as the bases are same we will calculate the powers and just write it like 3x = 5+1 => 3x = 6 => x = 6÷3 which implies x = 2. I know i am probably wrong so just let me know my mistake.

[@mrhtutoring]

Good question. When you have 2^(3x) = 2^(5) + 2^(1), you cannot set 3x=5+1. You can only let the exponents equal to each other there is only one base on each side of the equation. For example, 2^3x=2^(5+1) is equal to 3x=5+1 I hope this helps.

[@h.m.5724]

​@@mrhtutoring thank you I was about to ask the same question

[@all_techz]

@@mrhtutoring Dhanyawad 🙏, it was helpful.

[@kushinasonlypans]

Could we turn 2^(3x) into 8^x and then answer with x=log[8](34)?

[@saimanoj4392]

yes

[@kira-ju9rq]

This man is going to become famous soon because he is sharing his tips with us.

[@davidbroadfoot1864]

He will become famous if he proves the Collatz Conjecture.

[@mrhtutoring]

Finding the cure cancer is probably easier. 😄

[@BlessedGift-s7p]

Wow

[@HT-md7go]

Love this. It reminds me of college

[@shihakenyuu5715]

College? I learned this in high school...🥲🥲

[@muhammadshameer3442]

Bro is showing off his asian powers

[@lillii9119]

Note that log34 = log2 + log17 also.

[@nddmais191]

very good.

[@satyjeetsinghparihar2708]

Thank you 😊😊

[@hans429]

So its log34 over log 8? To further simplify it?

[@karmadorje6972]

Indians do in 2 steps Taking log both side with base 2 after that 3x comes out from log and it is equal to log34 now put 3 below the log base 2 34.

[@Elleisbored4312]

I love this man

[@itrstt66]

What is The log's base on The first logo atempt?

[@heliohelicoptahh371]

This is the future. This is Elon Musk.

[@madhavivavilala3090]

Sir can you make videoes on chapters in maths

[@Eliaelcapocho]

I didn’t understand the second part, how !? Can you explain this please?

[@mrhtutoring]

I used the exponential to log rule.

[@ThatGuy68580]

so is the base always just base 2 if the base is not explicitly stated

[@mrhtutoring]

Base is 10 if it's not stated.

[@eduardoxenofonte4004]

base is always 10 if not stated, but you can use any base here and it'll work

[@Rod-bp8ow]

SMES Tiers and Levels Exception:APPROVED for RECONCILIATION in TRIAL BALANCES and REALIZATION in EQUATIONS and Exponential POWER by means of FORMULATION OF the Logarithmic Values x, y, z where x1, y1, z1, are values of Equations logarithmic method, and Algebraic Expression INVERTED and FLEXED Method, different from ALGORITHM, way TOO DIFFERENT. ******IMPORTANT******* This is NON AI Standards of Excellence in Equations formulation, Algebraic Expression, formulation and Algebraic logarithm and Laws accordingly********THANK YOU******

[@itsnotshakespeareitsdennis6877]

Omg, maths is a drug!

[@ursulapainter5307]

Everything that goes into the brain affects it electrochemically---which is why we need to stop watching all that's junk on the airwaves. We also shouldn't traumatize vulnerable people.

[@origamiman7891]

“You want to use log to solve the equation” _chops down a tree and puts the equation infront of the logs_

[@takirahman377]

bro is jacked

[@rigaudmoise3679]

YOU ARE NOT TEACHING ; YOU ARE SHOWING YOUR SKILLS..

[@mrhtutoring]

Thanks.

[@alegg1466]

Is it right doing 2^3x = 2^5, then equalising 3x=5, getting 5/3?

[@mrhtutoring]

2^5=32 The equation is for 34.

[@alegg1466]

@@mrhtutoring oh right yeah thanks, so nothing

[@Cosmomaths]

Would this thing work if we replace log buy ln ?

[@qiangli1578]

two different methods to solve x, one can be expreeed by log(10), the other log(2)

[@aspectff272]

You can skip the 3x part by saying 2^3 so that is 8^x=34 then log34/log8 is a much faster way of solving the equation

[@AmiinIbraahim-o6r]

❤ carye with it

[@ryanvales1677]

Can we use ln instead of log?

[@Chess_age]

Teacher also got some muscles

[@havanicedayg]

Mr hu your math is crazy hahya !😂

[@oguinoom5884]

method 2 : as we all know that 2^5 is 32 so we can assume that 2^5.1 could be 34 so if we compare 5.1 =3x then we get 1.7 and this is the answer

[@gelaskosong544]

I dont get it

[@blurr1903]

This is completely approximate and you would 0 credit on a test from any teacher

[@usipussi6647]

Your not wrong tho, I got x approximately equal to 1.695, which is very close to 1.7 when i solved the equation

[@changetheformula686]

Sir can't solve this maths please solve it for me😢 3×5 to the power x= 375, x=?

[@mrhtutoring]

5^x=125 by dividing both sides by 3. 5^x=5^3 since 125 to 5^3 x=3.

[@markmcneilly6209]

Just being a nerd here but I would leave the 3 with the 2. Then divide both sides by log(8),

[@Lisalee-xj1xb]

How did it become 3 log 2? I’m sorry if this question was too basic

[@mrhtutoring]

Under the logarithms rule, you can put the exponent in front of the log.

[@Questiala124]

Yeah I do that. 3x=log2(34) so x=(log2(34))/3.

[@club6525]

8^x = 34 x = log34/log8 x = log8(34)

[@gwprabal5323]

Which standard's question is this? I am in 10th and not able to solve this.....

[@club6525]

​@@gwprabal5323 Grade 6 was when I learned logs and solving these equations.

[@gwprabal5323]

@@club6525 Bro are u Indian? Coz I am student of Indian education system

[@why.-._.]

That's the same thing,right? log34/log8=log34/3log2 =log 2 (34) / 3 =log 8 (34)

[@club6525]

​@@gwprabal5323Honestly, I learned log and log laws in grade 3. Grade 4 was when I had a firm grasp on the topic. Grade 5 was when I learned calc, real and complex analysis, linear algebra, and group theory. I say that I only began to truly grasp logs at grade 6 since the application of logs is quite varied across mathematics.

[@raidolill5134]

How do you know all that stuff?

[@mrhtutoring]

20 years of teaching high school students

[@JonsRegularStuff]

"...which you can put into your calculator". Times have changed, now you can put the original into the calc !!!!

[@BontleNdimande7]

He is so good 😮

[@quibblcr]

i know it's logarithmic but what does it do?

[@dougr.2398]

3 log 2 = log ( 2 cubed) = log 8

[@MubashirullahD]

Im guessing the skip step was something to do with log2 32 coming from log 32 over log 2?

[@MubashirullahD]

Ah, the first was log 10 and the second was log 2. Log 2 of 2 is 1. Got it

[@OrareEt]

Can I do it with natural log?

[@elpatron4696]

why did you use (log) instead of (ln)?

[@iggelopiggelo7742]

Do you still want an answer?

[@elpatron4696]

@@iggelopiggelo7742 pretending to be a nerd🥲

[@mrhtutoring]

For the first method, you can use ln also.

[@lefthandedfork3337]

What is this used for in real life can you give a couple examples?

[@adriant4479]

Logarithms are used often in statistics; logrithmic graphs and finance to calculate growth and interest rates. They can also be used to put large measurements with lots of variation on a smaller scale, for example the richter scale for measuring earhquakes uses logrithmics.

[@mrhtutoring]

Good answer 👍

[@lefthandedfork3337]

@@adriant4479 thank you I always wonder these things haha