Exponential equations with different bases (part 2)

[DudeMr94]

thank you so much!! :D

[heatherawrrable]

this makes sense to me now. thank you so much :)

[hzeppelin23]

my teacher didn't teach us shit, fuckin filipinos

[FAILmasterFTW]

THANK YOU, taught me better in 4 minutes then my teacher did in 50

[8NylJ]

Thank you! :D

[cheesecakencookies]

omg thank you, that helped me so much!!

[megacoolkid94]

I'm reviewing this before my test on friday for calculus and I can honestly say you are so much better than my current teacher. She just goes way to fast without explaining things whereas in this video you take it step by step and explain each process. Keep up the vids!

[Escuderofiel1]

Thank you!



[jennessy408]

Thank you so much for posting this. I was so lost on my homework before I watched this!

[nyarbeinghi]

Major help ... many thanks. I had to find the exact solution for 2^(x-1) = 3^x ... now I know how to solve exactly! thanks

[noodow715]

GOOD STUFF!!

[EpicJam1]

Thano you !!!!

[m0012]

Thank you!!

[baseballstar93]

Thank you.

[aaypea]

AHHH!!! thank yous!!!geometry totally ruined my algebraic mojo >.< need review

[rafael1877]

thank you very much sir

[miguelitomania]

have a question? could i also express this given example on the video like

(x-5)ln(3)=(6x+2)ln(5) ....like using ln instead log??? or whats the difference?? =D

[missrockbandhero]

thanks so much i totally get it now! (: you teach better than my math teacher. xD

[justforaccess09]

helped so much!!!!

[esca8652]

Thanks! I have a test this morning and was trying to figure out how to do this and couldn't find out how to do it from my textbook. You explained everything.

[LacrymosaRequiem27]

Very helpful! the only example I could find with different bases and different coefficients for the x-terms in the exponents, which had been confusing me before.

[budradis1]

holy shit i love you

[mirjettaaa]

Thanks :)!

[midnightpanda]

THANK YOU!

[aprilen]

Thanks so much!

[012Miike]

There is a MUCH MUCH MUCH more quicker way of doing this.....

x-5 = 6x+2 Log3^5

1. Find Base of Log3^5 then mult base of Log3^5 by 6x+2

2. Add like terms

3. Solve.

MUCH QUICKER.... Only 3 steps insead of 10

[sexyoreo6692]

this was mucho helpful, i pray i pass my exam

[YT4Tori]

Thanks, it's wonderful that people post this type of video. I wasn't paying attention to my professor the day she taught this. :P

[DancinWithJB]

THANK YOU

[HorusFlint]

uhhh... i dont know anything about Math

[razmoket2233]

very helpful

[maxim2266]

why didnt you solve the equation LOL. i always enter it into my calculator wrong. i get everything but the calculator part. FML

[bukyogunleye]

Thanks a lot.

[cloud453]

Thank you so much for this Clear step by step explanation.

[gtg4651]

Thanks! :D

[1073601]

thanks, i was stuck lol

[1073601]

thanks, i was stuck lol

[ZakaqerE]

Thanks for the helpful guide.

[coupado]

This was sooooooo helpful! Thanks soo much!

[spyfinder]

You are a math god , thank you so much!

[sh4d0wsl4y3r]

Erm can i ask u a question ? .. After taking log n moving the power down .. cant u bring both log3 and log5 to a side n solve it ? I think its a faster way ..

[xSigzenx]

Thank you for this great explaination, It really helped me understand exponential equations with diff bases

[khayle05]

why u didnt us LN?

[minkusbc]

I could have. In fact I could have taken the logs to any base on both sides. I chose Log (base 10). I would definitely use LN on both sides if the equation contained "e".

[Azamat102]

Thanks big help

[arlete144]

This answer is the BOMB!! awesome,concise.. exactly what I needed.

Thank you.. vless you!!

[juryYELL18]

you are really cool!!!

[87Jjj]

i suck at calculus, and this is 1 of the best explanations i've ever gotten

[knorton9492]

wow, thanks a lot! This helped me out so much.

[Sp3nc3daman]

Dude you should have used natural log

[minkusbc]

I could have, in fact I could have used any log, such as "log base 7". However there is no reason why I should not use log base 10, I usually only use natural logs when I am dealing with an equation containing "e".

[xolillypad]

You have no idea how much this helped me. Thank you so much, God bless you.

[ssssarzzz]

THANK YOU!

[ClubEXPRESS]

i love you! know I get it!

[ecswimmer06]

I really need help... I may be just not thinking straight, but I just can't solve:

7^x = 6^x + 2

[minkusbc]

The problem comes with the right hand side because there just is no way to simplify log(a + b) or, in your case, log (6^x + 2). I solved this by graphing y1 = 7^x and y2 = 6^x + 2. Their intersection point is x = 1.250838 and y = 11.404618. so the answer is approximately x = 1.250838. This agrees with Wolfram Alpha as well.

[sucio1985]

@minkusbc can you help me solve this problem please???

I have to solve the exponential equation then express the solution in terms of natural logarithms

4^x-2=222

please help me out!!!

[mcmanhandles]

@sucio1985 Assuming you mean 4^(x-2)=222, take natural log of both sides.

ln(4^(x-2))=ln(222) Now, by the power rule for logarithms, the exponent can be brought in front.

(x-2)*ln(4)=ln(222) Now its just algebra

(x-2)=ln(222)/ln(4)

x=ln(222)/ln(4)+2

[mcmanhandles]

@ecswimmer06 Ha Ha:) I have been looking all over the internet to solve a problem just like that! It seems there is no way in this world to do it algebraically:)

[chkaus1]

Good stuff sir, now i'm not stuck anymore.

[hephronss]

solid explanation

[xoxotrish17]

oh..ur gud!!tnx..

[captaineothan]

I solved and got something like -2.3 I have no idea if this is right, as I didn't know what to do with the negative in -log3. Anybody know?

[weatherman1994]

The easiest way to check yourself is to go back and plug in your answer.

You said x = -2.3. That results in something like 1/3040 = 1/176948160.

My answer was x = -1.01. That results in something like 1/737 = 1/635

[captaineothan]

I haven't worked with logarithms too much, but that seems like a very complicated way to solve the original problem. I sure hope my ACT doesn't have a log problem that tough!! :)

[evilcrabsitchalways]

this stuff is trippy.... umm, what do you mean exact ? this stuff sounds like a religion, the math rules.

[weatherman1994]

Decimals aren't exact numbers. The common log of anything (besides powers of ten) is irrational (making decimals estimates).

[edgao5555]

thx

[Winst0nOBoogie]

Wow!!

you did in 4 minutes, what my teacher couldn't do in two and half hours

thanks man!

Bless you and your Sharpie!!!

[pafijohn]

YOU ROCK!!!

[mtrc6]

Thanks so much! Great explanation. The answer turns out to be about -1.018, I think

[swcnut]

THANK YOU SO MUCH!!!

[Wnaysha]

tnx a looootttt

[NAJ626]

You explained that better than my math teacher! Thank you so much! You are awesome :)

[zippynmandar]

thank you so much! you rule!

[blacksugar25]

Thanks for helping us out!

[NICOLIOUS]

You just saved my GPA!! Forever grateful:)

[speranforever]

Thank you, you are an EXCELLENT teacher!! i love the arrows and highlight. it helps SOO much! stella

[torneronela]

Thank you!!!...

Saludos desde Argentina

[KhaiserVillhem]

You sound like John McCain lol ty for the help

[ssoko]

You really explain clearly... good work.

[ochibii]

thankyou!!!!

[ReflectionEternal2]

Thanks, my math book sucks at explaining things and when I searched the net I couldn't find examples as complex as this one to base my execution on. 5 stars.

[Philipergrits]

thank you sir!

[b3f4school]

Excellence Video and Explanation. I'm Impressed.Thank You

[JohnLetton]

Thank you, that was very helpful

[primmanet]

good work!

[amberlynnbg]

Thank you for this video!! My math teacher is so stupid and this really really helped!

[IcyToben]

THANKS for the explanation!!!

[sjsawyer]

Thanks goodness for logs. Nice video!

[simplefix2323]

thanks bud

[123nameless123]

woooow your a 1000times better than my last math teacher

[psy123]

you are so much better than a lot of teachers.. conglatulations :)

[Philipergrits]

Oh yea

[foreverseethe]

I checked this out because as I understand, this kind of math is integral to computer science which fascinates me. Not surprising, I STILL find complex math Frustratingly detached from any real world application, Which saps my interest. I don't know HOW* I graduated. I still respect it though. and it's elegance.

[hiredagent]

dude u teach better those idiots at school!!!

[redmmmmmnn]

ES UTIL

[sidiqmk]

great stuff

[rosalannes]

This is great, I can youtube and study math at the same time!

[Krizzz56]

I think stuff like that is extremely interesting. I seriousely do.

[mrjiggyfly122]

awesome