IMPORTANT Solve Logarithmic Equations with Different Bases
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- Опубліковано 2 жов 2024
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Q1. Solve: log9x - log3x = 0
Q2. Solve: log2(x + 1) - log4x = 1
CORRECTION: Alternate Method around 5:33: It should have been log(1/x) = 1, and then x = 1.
Thanks to our subscriber for the feedback.
I know this is a bit late, but you did way too much work, way too much lmao. The answers for the two questions could have been reached easily without so much work.
For the first question, you can use the lesser-known rule when it comes to logarithms, you can square any log's base as long as you square its argument, so you could have done 3 squared to get 9, and the argument would become x^2. Then you could have combined the two logs together now that they have the same base, so it would be x squared over x. Then, you can put this all in exponential form, so 9 to the power of 0, which is 1, equals to x^2 over x, which is just x, so x = 1.
For the second question, same thing! Just square base 2 and its argument, the argument will become x^2 + 2x + 1, then combine the two logs as they now have the same base, so x^2 + 2x + 1/x. Solve the quadratic equation (easy) to get x = 1, and x2 = 1. Plug in 1 for x, and the answer is 4, which, if we put this into exponential form, it makes sense, 4^1 = 4. So, x is also 1.
Thanks a lot for the alternate solutions. Highly appreciated.
Solve for p given the equation loga(2p +1) + loga(3p -10) = loga(11p) for p is greater than 0
Sure, will post a video soon. Thanks
Mr the way you are teaching is confusing 😂
You are solving test questions. So, the concepts should be clear to you. Change of base should be absolutely clear. You may check my playlist on the same and then make your judgement. Here is a Playlist: ua-cam.com/video/M296r1ys4jc/v-deo.html
Thanks
Mr please would you do this one for me...log2(x)-3+log2(x+3)=0
sure, you may post more questions to my email: anil.anilkhandelwal@gmail.com
wasn't the last line supposed to be log(3)x -2log(3)x-log(3)x ?
I loved the way you do an analogy of both nature and maths as yes they are two faces of the same coin ❤❤
Thanks
How ? Are they two faces of same coin??
I dont understand how u got half log 2 can u explain
Here is alternate way to describe:
denominator is log(3) 3^2 -- log to the base of 3 log(3)
denominator is log(3) 3^2 = 2 log(3) 3 = 2(1)
so you get 2 in the denominator.
Let me know if that is clear. Thanks
@@MathematicsTutor Not really but i accept it
The method i was taught is a bit different dats why
@@priscillakumah3950 Here is alternate way to describe:
denominator is log(3) 3^2 -- log to the base of 3 is being written as log(3)
denominator is log(3) 3^2 = 2 log(3) 3 = 2(1)
so you get 2 in the denominator.
Let me know if that is clear. Thanks
@@MathematicsTutor yes thank you
I suggest you stop teaching you are confusing us
Thanks for your suggestion. Learning or understanding requires different set of attributes. First be a student and then the things will flow through. Hope that helps!
Thanks for the empowerment through all conditions and privacy terms of the progress i have been making with your teachings ❤😂🎉🎉
Thanks
With my cellphone I am unable to manipulate base. On paper I can show you my method without any confusion. Life is simple, maths is simple. We complicate them. Nothing wrong with your method
sir i have this problem need to be solved (logx+log(y^2)=4 and log^2x-3log(xy)=-5
In 2nd example, you have solved x²-2x+1=0 directly to (x-1)², but the same can be factorized and we can get the factors by x²-2x+1x+1 to x=2 and x=-1
So is this incorrect??
At 3:12 where does the 1/2 come from?
denominator log3(3^2) = 2log3(3) = 2
This results into 1/2
Thanks
If the foundations are different, how is the solution?
I really like the way u teach. Now I understand. I love u...❤🎉😊
Find a so that the graph of logarithmic log ^x(base a) passes through of the point (2, square root of 2 over 2 ) please sir can you help me from France. Thank you
Thank you sir very much
Thank you sir very much
I love the way you teach, now can solve also questions....🤝🙏. bring some questions
Great! Try this test: ua-cam.com/video/kqqNMIYrZ5A/v-deo.html
Thanks
Very interesting
Who came to
Sir I have a question 4√10 base 10
What is the question? Thanks
No
Ashish Kumar
Good night
Sir teramax😂
Its trimax now
What if log has addition inside the base? "If Log to the base a+2 of 7 < 0 (a is an integer), then a belongs to the interval:?"
My math teacher won't teach me how to solve this until whole class joins logarithm concept 😭 (I'm ahead of others)
Very nice
Que vídeo maravilhoso. Muito obrigado e continue nesse trabalho, você ajuda muitas pessoas. Abraços do Brasil. ❤❤❤
Log(3^x-8)= 2-x find x
3
Please solve sir
X=5
Powers are equal
1/3 log 27 + 1/2 log 9 - log 1/3 please help me...
greetings sir: On timeline 5:33, how can log base 3 of x/x^2 =x? Should that not equal log base 3 of 1/x?
Thanks, You are right. It should have been log(1/x) = 1, and then x = 1.
👍🏻