How to solve an exponential equation with two different bases

[@Delmontey]

I’d seriously do anything to have this guy as my professor. You are the reason I passed algebra AND trig in my past two semesters!! It’s calculus time!!

[@benschuhle1532]

5:04 "yeahhhh.... J"

[@brianmclogan]

yeah!

[@aims1239]

I wish this guy was my maths teacher. You are the reason I will pass my exam!🙏🏻thank tou

[@brianmclogan]

you got this Aimee! happy to be able to help you out!

[@simeon2851]

When students applaud like they did at the end you get your reward as a teacher. You know you did your job well.

[@P_fromTheValley]

Great job in explaining the steps. Thank you!

[@lalalim7028]

I wish for having a teacher like you in my school............

[@ysoof_fn6319]

you are the best teacher that teache's math you are incradible

[@blazeridhz548]

bro is definitely on my top 5 favourite bald guys list

[@ayohazem.]

this guy is seriously good at teaching, thanks!

[@-infinity0infinity61]

Look or listen to the comments!! These were true 50 years ago for me. So many people could have become so much more. You and a few others are helping some to not be failures. Thank you sir for being there. Gretch

[@misaelsoria3965]

I have been searching for this 6 months THANK YOU!

[@brianmclogan]

you are very welcome!

[@annahrealebogamantswedi5063]

I really wish I had a maths teacher like you

[@sefotomatsaodi4616]

7 years later and we're still here.Thank you sir this seems easier than i thought

[@mreyeball3085]

you're a lifesaver man appreciate your effort!!

[@ruthlessrubberducky5729]

Thanks for the help on my homework 8 years later.

[@ahgajaye]

i literally come to all of your videos for clarification. thank you so much omg!! 😭

[@brianmclogan]

you are very welcome!

[@ahgajaye]

i made a 94 😭😍

[@burhanchughtai6775]

Five seconds in: "A lot of students will forget umm...basically how do you solve..." me 2 years after the class trying to place into college classes

[@alejandromarco8366]

I really like your lessons you’ve cleared all my doubts and I make less mistakes now. Full on respect.

[@brianmclogan]

cheers Alejandro! happy to be able to help you out!

[@sarchelsami5431]

Excellent , what a intelligent Explane

[@KageDaShadow]

thank you so much for the clearing up everything

[@brianmclogan]

you are very welcome!

[@casvdw8204]

Im 15 and solved this in 20 seconds in my head. How old are these students and where are they from?

[@vive335]

You shouldn’t be here then

[@karimjiwa9279]

If you were my high school instructor I would learned so much more and could have become a rocket scientist.

[@ddouglas8161]

One thing I did to teach my brother one to one for his Algebra 2 class is I gave him a problem like this 2^2x+4=2^x+3 To demonstrate why we can easily drop the base (2x+4)log2=(x+3)log2 Then we divided out log2 and got 2x+4=x-3 Did some basic algebra and got x=7.

[@theJstate]

Last minute cramming for my final. Your vids are a godsend

[@theJstate]

I had to teach myself precalc this semester 😵

[@libbyfinkerbocker705]

You are amazingly patient, and extremely helpful. You remind me of my professor, and it's just like I have him home with me. Thank you!!!

[@brianmclogan]

happy to be there for you

[@jameswelch8076]

Thank you so much Mr. McLogan

[@iTerracottaPie]

Dear Mr. Brian, I would like to thank you first for your extraordinary explanation of mathematics! I'm really facing hard times solving this problem; i checked your channel for help but didn't find relevant one, so here it is: solve the equation e^2x = 2^x−4 Many thanks ❤️

[@redstoneplayz09]

I tried it and it's a pretty tough question, but basically you take the natural log on both sides and do some stupid stuff until you get the answer...

[@sreshtam]

Hey! There is a Symbolab Calculator that can help you out! It shows all the steps, and I think it can help you!

[@akermiyu]

How are you suppose to know to subtract -3x?

[@noahzaret2707]

You are the best man. Currently taking a pre calc summer course to get ahead during the pandemic and the videos they supply are so confusing and ambiguous. I used to use your videos as a fallback if I didn't understand those but now I just go straight to you. Appreciate what you're doing keep it up!

[@kenbolo1849]

better than my school math teacher...thank you so much

[@freemathacademy6632]

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[@christopherjones5700]

i really like your lessons you cut straight to the point and your students being present during the video kind of makes the lesson feel more realistically paced for how fast a noob's brain would take to process the information it's like we're in class with you lol

[@EthanRMus]

Thank you! Learning decibels for music production and this helped me be able to solve those equations.

[@wilberkennedy3226]

Verry informative and useful

[@glennrickelton4093]

Great explanation and teaching method

[@vive335]

2:35 he said it incorrectly, it’s supposed to be three *to the power* of 3x + 3, not three times 3x + 3. Because the viewer might mistaken it to be multiplication rather than powers.

[@gholmes182]

Excellent thanks.

[@averagebodybuilder]

They can be written as the same base. Try 2^x= 3^(x-1)-1

[@kittythefool]

You are the reason i'm understanding this, thank you so much

[@abdullahannan9313]

brooooooo Thank u sooooo much GOated maths teacher

[@devondevon4366]

9^2x-1= 3^3x+3 = 3^2(2x-1)=3^3x+3 4x-2=3x+3 , Answer x=5 substituting 5 in original equation gives 9^9=3^18 , 387,420,489 = 387,420,489

[@JMPulido55]

Mr. McLogan, you are a great exponent of ...exponents (no pun intended). Thank you.

[@brianmclogan]

haha cheers!

[@dominykasmetlevski1896]

I'm sure it was intended...

[@JMPulido55]

Aw rite, I admit it--it was intended, ha ha ha.

[@dominykasmetlevski1896]

I KNEW IT!!!

[@JMPulido55]

I like expunents, I mean exponents.

[@TaijiArban]

Easily understandable

[@beezow7113]

realizing these kids in class are like 21 now and not my same age

[@thatomofolo452]

Awesome 👍👍

[@theodoresweger4948]

Appreciate the mention of common mistakes this helps very much, because we learn from what is a common mistake...

[@Intskints]

Exponents test coming up, thanks for the video

[@brianmclogan]

you are very welcome!

[@itskiff8636]

is this a pre calc class?

[@stanleykimutwa4351]

I have a question

[@belalhassoun4052]

what do you do if the base is 7 on one side and on the other its 4

[@MD-cd7em]

ENJOY YOUR VIDEOS!

[@brianmclogan]

happy to help

[@pratyasha279]

alright, but instead of 9 and 3 as bases, what if we hade 5 and 3 for ex? 9 can easily be converted to 3^2 (what about 5 and 3)? kindly suggest sir.

[@nezukochan_12473]

What are we going to if they have different bases?

[@javiervega4668]

Dude! You rock! I'm checking my kid's AP Algebra 2 HW and you just distill this stuff so well... Thanks! This is what technology is for.

[@AhmedMohammed-u4t]

Excellent

[@pedroluisnvo]

Very good 👍

[@marthjotojot5556]

Hi, question 😭 why do you have to subtract -3 on both sides?

[@brianmclogan]

Property of equality

[@9zhwo]

Thank you

[@brianmclogan]

You are welcome!

[@Leivarx7]

Thanks so much!

[@brianmclogan]

You're welcome!

[@eduardsmotesco4344]

this is so great mate!! TYSM wish he was my math teacher

[@Yadav_bhai_3003]

How can we solve when there is + or - sign between 2 terms

[@OmPatel-hl4ri]

How would you solve it if everything else stayed the same but the base of 3 was another base so you can’t make the 2 side have the same base? How would you solve it if it was like that

[@brianmclogan]

take the log of both sides and use a calculator

[@sreshtam]

Thank you so much for teaching this subject! This will be on my quiz tomorrow, and I hope I pass. Your explanation is wonderful. I am happy I found this channel at the right time!

[@fzdark8378]

4^x + 2^2x-3 = 9/8

[@miaplayz290]

Mac lethal of maths

[@nancycharles7940]

Marie Charles MAC 1105 Tuesday-Thursday 9:30-10:45 Two exponents with the same base equal to another their powers are also equal to each other.

[@brianmclogan]

not sure what you are promoting

[@chelseamaybattung8899]

can i ask? you subtracted both sides by -3x to? to remove the value of x? did you add 2 on both sides to get the value of x?

[@brianmclogan]

yes you want to use inverse operations to isolate the x

[@mandyzhang4492]

its a wonderful video !!! just what i needed !!!!!!!!!!!!!!!!!!!!!

[@brianmclogan]

awesome! happy to help!

[@naaguteju3555]

🙂Your concept was really interesting... I hated this topic before watching ur video... Thank you sir... Ur really a good maths teacher. 🙂

[@duanebg]

love your videos. If im lost with something i seach for the topic and hope your videos come up.

[@beautyafrane7116]

Thanks soon much.But what if the base has the variable. Teaching is very clear.Big ups

[@aveltayong1351]

In the end, Where did the +2 come from?

[@aveltayong1351]

Nvm. i understand now

[@StretchMarksGuy]

Thanks so much this helped a lot

[@NicolePontejos]

i knew he was a great math teacher when i saw the bald head! hope youre still teaching and doing well mr logan

[@gabrieladacosta8346]

better than my teacher corona has got me stupid

[@ibmi2491]

last move was fucking cool 👍🏻😂

[@gracelaurian7415]

nice teacher I understand form Tanzania

[@brianmclogan]

awesome! happy to be able to help Grace

[@Unknown_416]

Perfect video..thank you!

[@brianmclogan]

you are very welcome!

[@etkorbs]

What happens if the two numbers don't have a common base?

[@brianmclogan]

Gotta make them or use logs

[@eikennewman360]

what happens if the number is not a perfect square such as 10? Also what happens if there is no way to get the same base? for example (-1/-60)^-7x=10^(16x-27) is the question i need help with.

[@brianmclogan]

if the base cannot be written as a power so you can apply the one-to-one property then you will need to use a calculator and logarithms

[@eikennewman360]

ok thanks for your help, I love your videos by the way!

[@brianmclogan]

cheers happy to help Eiken!

[@enigmatian]

Good stuff.

[@brianmclogan]

thanks!

[@mr.drewing4570]

where is the two different bases in that video?

[@kyleparsotan6799]

11^3x = 5^x+5; how do u solve for x then it would be no solution???

[@sunnysharma5166]

AFTER SOLVING WE GET X=5

[@t.a.o.n.a]

Better to understand

[@nithin1729s]

I think this can be more easily solved by logarithms

[@irwandasaputra9315]

3^2(2x-1)=3^3x+3 2(2x-1)=3x+3 4x-2=3x+3 4x-3x=3+2 x=5

[@milloboiplays8558]

Wrong

[@irwandasaputra9315]

@@milloboiplays8558 apa arti wrong

[@kingvirginiaverg7528]

Okkaaay but what if you have to use logarithms since the bases don’t equal. ex.) 3^(x+1)=4^(2x)

[@sergiomelendez2198]

I wish you were my teacher

[@brianmclogan]

I just enjoy helping others.

[@theylovelexi.]

This man is talking gibberish to me I cannot understand this lesson of math at all. Algebra 1 imma have to repeat it and I will cry

[@TheTacoWagonTV]

1000th viewer, thanks for the help!

[@brianmclogan]

awesome! happy to help

[@savannahjones4195]

like if you just looked at the dude hair the whole time

[@brianmclogan]

haha good horseshoe going on there

[@pleaseexcusemydeeplyawkwar4972]

Using this for a discrete math course 😂😭 I forgot all my algebra. To be fair, it's been 7 years. But I took calculus 3 two years ago!

[@augijyotbali2131]

Sir thank u so much, can you please help mr solve this too 5^2x -1 - (25)^x-1 = 2500

[@rainjiali]

Why did he have to divide it with -3? Why not just use 3? Same question for the next step.. Why add positive 2 instead of -2? Please help

[@veronicaprescott2838]

But for the (x) for 3 to the second power equals to 3, x, couldn’t it be 1 ??

[@brianmclogan]

yes and 1 times 3x is just 3x

[@veronicaprescott2838]

Brian McLogan ok✔️

[@brianmclogan]

cheers!

[@adamhossam.]

ur a 🐐✨

[@brettharpt1284]

This is nice but u cant make every every base equal. I hate when youtube videos do shortcuts like this

[@Tahmin-yh7rs]

Yeah like u were a boss

[@goldbergsam1540]

If you were my teacher , i wouldnt waste my time on finding things help on youtube (math) anymore xD

[@brianmclogan]

happy to be able to help, no worries my students do it too

[@Shtayga18]

Solved for 20 sek in my mind.