Logarithm Change of Base Formula & Solving Log Equations - Part 1 - [7]

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In this lesson, you will learn how to solve logarithmic equations by using the log change of base formula. We will learn that we can express the logarithm in terms of a different log with a different base. This is very useful when we solve logarithmic equations because we can construct the proper log to cancel terms and isolate the variable that we are trying to solve. In this lesson, we will introduce the log change of base formula and apply it to solving equations that contain logarithms.

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27 июл 2024

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Комментарии : 118

@dkblack1289 8 месяцев назад

Jason is the best teacher I have ever known. He also knows so much in all physics and maths field.

@ef7496 3 года назад

I bought his CD in 2007 when I was in community college 😊 and surly I passed with an A he is awesome 👏

@MathAndScience 3 года назад

That's awesome!

@usmanghani2258 3 года назад

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@Luke18_13 3 года назад

@@MathAndScience I'm new to math. I'm almost 40, and I've never took the time to learn. I'm extremely interested in sharpening my mind. What video should I start with? I can add and subtract for the most part, division is tricky for me, as is multiplication. I really want to delve into the realm of math...

@prakeernaghosh7924 3 года назад

Do his Courses cover College Studies as well?

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@@usmanghani2258 On His Website.

@Waafa 3 года назад

Another great video Jason. Even though we have never met, I consider you a good friend.

@tsegayetadesse5559 6 месяцев назад

You are the best best best teacher I know. Thank you!

@WHERESDrManhattan 2 года назад

Great teacher - wish I'd had you during my studies!

@mathiascheboi6610 3 года назад

Indeed it doesn't just come from the sky. What a smart tutor! Thank you so much.

@ralphfi9591 Год назад

6:20 - Finally. Thank you for giving this part here. Literally the only question I had about this, is whether the base is fixed to 2 or 10 or not. But now thanks to you, I have finally no doubts.

@hemarajue2736 3 года назад

I'm happy with that proof, since I was struggling at. Logarithm of 1 is always zero irrespective of the bases. Logarithm to base 1 is undefined. E.g log 2 = log 2/log 1 = log 2/0 = undefined.

@kanishkaaashekhawat6234 3 года назад

True

@anandrao395 3 года назад

@@kanishkaaashekhawat6234 yhhh

@michaelmatthews1665 11 месяцев назад

You are Saving me in engineering thankyou

@belindahenry173 2 месяца назад

Thank God for giving me a teacher I can't meet in person, but leaning from him

@pomeroypowerjackrepair 3 года назад

Thank you Jason! Greatly appreciate what you do for the world!

@cabdulmudalibmahadjaamac9099 3 года назад

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@pragyatutorial 10 месяцев назад

Respected teacher you toght so well with kond heart. Thank you.

@dicksonkaulu6992 Год назад

Thankyou for having that teacher who let us to achieve our goals. May Almighty God bless him at all.

@aakill3083 2 года назад

Great! Thank you for your clear and easy understanable lesson given to us.

@Cheesecake99YearsAgo 3 года назад

Much appreciated Jason! Is there a playlist for this video? Or could you add it in the description?

@mr.stranger3417 3 месяца назад

God bless you sir, May all your wishes come true ❤

@lilbunnyjk1756 2 года назад

I was struggling with that prove that how should I prove this .....but sir u r superb ...thanks for this 💕

@kaili1094 Год назад

I understand the last derivation. Wow~ I used to get confused with them. Thanks.

@samueladler9080 2 года назад

Lengthy but worth the time, thanks. My appreciation.

@theprosperitypioneers 2 месяца назад

Great tutorial, thanks a lot to share with us everyone 😍

@CigarBabe 2 дня назад

Wow, give that man a beer

@giovannicaproni6489 6 месяцев назад

Excellent! I learned (actually relearned) a lot!

@pekkagronfors7304 3 года назад

I write a lot of Powershell scripts at work. They are often not very mathematically intensive, but on a few occasions your videos have saved my day. Thank's.

@NikitaNewa 3 месяца назад

This lesson is amazing and well understood please can you do a lesson on proving rational and irrational numbers please

@luckyhiii583 Год назад

😮😮😮😮😮😮😮😮 waoo what a explanation going directly inside head to third leg 😢😢😢

@ashokekumarsen7919 2 года назад

Fantastic professor

@ksofficerofficer7858 2 месяца назад

I got offended when he said pull it out whatever little calculator you have 1:35 but personally I don't care if I got offended or not with my learning journey as long I'm learning somthing😂😂

@sydneyphiri9474 Год назад

You promised to make me understand and you did thank you very much

@tresajessygeorge210 9 месяцев назад

THANK YOU... SIR...!!!

@musahdoku 3 месяца назад

Much appreciated boss❤

@barexaamidofficial4440 2 года назад

Great teaching. I have problem for how make table of lograthms is there any have a reference reviewing this fact. Thanks I mean where the values of log table are derived ? Which formula is used

@aleksanderfradkin7955 Год назад

Really interesting! 😊

@iamdebirhan 19 дней назад

Amazing !

@ellennaky218 3 года назад

I really love your teaching 😊😘

@MathAndScience 3 года назад

Thank you! 😃

@mitsuru338 2 года назад

You make me love math

@Carlos-qz7ul Год назад

Masterful ! 👌

@onyinyechiokoro3050 Год назад

Thanks so much sir 🙌🏼

@magrethtemba1308 2 года назад

You make math easy

@qualquan Год назад

very good rationale for changing to easier bases10 or 'e' explained

@livylondon1 3 года назад

Hi Jason. Thanks for your content

@MathAndScience 3 года назад

My pleasure!

@dalitson3558 3 года назад

@@MathAndScience you are the best maths teacher , am enjoying your course from Malawi

@alexz3901 2 года назад

When I studied logarithms, I was told that base 10 logarithm's notation is "lg"

@fancykook4388 2 года назад

thank you SO much 🙏🏻

@user-hc4jy2dt2e 6 месяцев назад

wow!!! 😍thank you very much

@utkarshsharma1185 2 года назад

Thanks alot sir.

@rahmonoyenuga873 Год назад

Good job.

@ahmadfares5243 Год назад

Nice one

@user-jm3mh6ud4w 8 месяцев назад

very interesting

@REDSHADE26 9 месяцев назад

Good lesson❤

@maryaslane1937 3 года назад

greetings from greece. your videos are very informative

@HadiatuBah-fb5zt Год назад

Thanks

@lokwiirufino-tl6jq Год назад

am satisfied with that 👍

@BrrrrrrrrR24 5 месяцев назад

Wish this was my teacher

@hemarajue2736 3 года назад

Log of 10 with change of base formula. Log10=ln10/ln10=1. Secret is secred!. We keep some secrets until they work for us. Sometimes secrets could disturb us like noise. Don't keep the secrets that may disturb you.

@jyosthnamarati1458 6 месяцев назад

Sir, i got answer 2, for log 9 base 3. But we got different answer in different way in our video, can you please explain this. I did 9 as 3 power 2 . And took 2 in the front. And i krep number 1 in place of log 3 base 3. Finally i got 2.

@ngaligift9219 2 года назад

Love ur toutor

@lylyyy279 3 года назад

Bravo

@patricehara6110 2 года назад

Hey mister, may you teach a class on Power series please

@MM-dj2cv 2 года назад

Excuse me can you SHOW ME HOW DID YOU GET 1.477 AFRER YOU HAVE DONE LOG30 DIVIDE BY LOG3. THANK YOU

@sujuktachoudhury1003 3 года назад

You are a great teacher... 🙏 I loved the way you explained..Thank you so much teacher.✨

@JesusJesusmoreJesus 11 месяцев назад

😊

@terencewright2223 3 года назад

A wonderful video. Thank you very much.

@TheLucanicLord 4 месяца назад

I can't remember the base change formula if my life depended on it. I have to figure it out by using logs to base 2, 4 and 8 of 64, or that the formula for log to ln is 2.30

@chayendrahr9548 3 года назад

What do we call A) 1-12 of a year

@labanprosper367 Год назад

Nice

@alim7532 3 года назад

Just had this question today I guessed right answer but now u show the real answer. Wonderful channel

@actanmike524 2 месяца назад

My calculator has any base, good for me i started using it when i already grasped these things😊😊, it could have damaged me

@DBX277 3 года назад

Having challenges solving log x = -1.8 problem... My hand held answers -.8.... so I went to Excel and it won't take negative numbers... so just checking the .0158 answer.. maybe I need a better calculator (Casio 300 fx 300SA)..appreciate the thoroughness you provide..I signed up for a Subscription..thanks

@DBX277 3 года назад

Replying to my own post...figured out correctly operating my calculator ..and get your answer..sorry for the my unneeded prior post...

@MathAndScience 3 года назад

@@DBX277 No worries! Glad you figured it out! Thank you and good luck in your studies! Jason

@SharonSweet-gz2mt Месяц назад

The number e and pi are irrationals

@princenegi1886 3 года назад

I want the full CD.Is it available in India?

@MathAndScience 3 года назад

Its best to do the streaming option at MathAndScience.com. That way you can view all lessons from anywhere in the world. Thank you! Jason

@25kIced 3 года назад

really good thx professor

@MathAndScience 3 года назад

You are welcome!

@miguelferreiramoutajunior7932 3 года назад

Thank You Sir!

@MM-dj2cv 2 года назад

Where did you get oo.699

@njugunajosee9001 3 года назад

"I just want you to know that things don't just come from the sky"😄😄😄😄😄😄🍻🍻🍻cheers to that

@AlbertChanda-oy9m Месяц назад

Anyone with the link to part 2... Please help

@timileyinajayi4384 2 года назад

U can put the base 3 on calculator if you don't know

@Dizzy.404 3 года назад

Damn I think I learnt more from you than my teacher. You're like the supportive and wholesome dad I wish I had.

@basilrex4105 2 года назад

a lucid exposition

@ShikongoDarius 3 месяца назад

Solve for me long7[4×-5]

@prakeernaghosh7924 3 года назад

Jason Sir,May I please know Your Full Name?(Just for Remembering)

@ShaileshYadav__ 3 года назад

Jason Gibson

@AnnaSamuel-fp1qv 2 месяца назад

Why 7

@Rnrkeje 3 года назад

Turtle approves of this video

@view05nys 3 года назад

Minor detail .......... The professor forgot that he could also convert to a base e, because there is a also a button on most calculators beside base 10

@josiahfadder 3 года назад

"If you don't know what a log is it looks hard"...yes, well he's proved logs are hard.....but he also makes it make sense

@enhypenhybe4806 2 года назад

how to evaluate log base e^2

@faithelias2798 2 года назад

God loves you and he wants to save everyone, but in order for him to do that, you need to repent and be baptized. Also share his gospel with everyone you come in to contact with and keep his commandments 🙏🏾😘