Exponents - Free Formula Sheet: bit.ly/4ehTaPN Quadratic Equations - Formula Sheet: bit.ly/3WZ8v1Z Final Exams and Video Playlists: www.video-tutor.net/ Next Video: ruclips.net/video/1_XHAzgUi1o/видео.html
you will never understand how grateful I am for you. You have CARRIED me throughout my high school classes and your content is ageless for the many students in the future that will come in search of desperate help, and you will be here to save them. I can not thank you enough.
MR. Organic Chemistry Tutor, thank you for another straightforward explanation of Solving Exponential Equations in Quadratic Forms. Logs and Exponentials are common equations in science and engineering.
Your graph at 6:40 is the wrong way around unless you've flipped the axes. And I'm assuming we're sticking to the standard rule that ln(x) is undefined when x≤0 because we aren't going to Complexland and playing with things like Euler's Identity here. 😉
I'm sorry for interrupting but what do you mean by the answer of the last example? In my opinion, we are finding the x in the equation 2x = ln8, you can see that the 2x means that 2 multiple x so to find x, we just need to divide ln8 by 2. However, I was quite confused when I solved that example at the first time because I still cannot distinguish the differences between ln and log so I solved it like this: 2x = log2(8) so x = log2(8)/2 = log2(8)/2, = 3/2, so x = 3/2 or 1.5 But I found it incorrect from my calculator so I think that the answer in that video was true.
Regarding 2x=ln(8), if you divide both sides by 2 in order to get x by itself on the left side, you are left with (ln(8) / 2). Since dividing by two is the same as multiplying by 1/2, ln(8)/2 becomes 1/2 (ln(8)). The same theory can be applied to 2x=ln(6)
e^(2x) - e^(x) + e = 0; start with that. That's the same thing. Therefore, e^(x) = (1 +/- sqrt(1-4e))/4. Easy. Or, x = the ln of that answer and don't forget to put the absolute value in the argument.
Exponents - Free Formula Sheet: bit.ly/4ehTaPN
Quadratic Equations - Formula Sheet: bit.ly/3WZ8v1Z
Final Exams and Video Playlists: www.video-tutor.net/
Next Video: ruclips.net/video/1_XHAzgUi1o/видео.html
you will never understand how grateful I am for you. You have CARRIED me throughout my high school classes and your content is ageless for the many students in the future that will come in search of desperate help, and you will be here to save them. I can not thank you enough.
Monaka is that you
Math hurts my brain or maybe it’s just my professor lol
TRUEEE
MR. Organic Chemistry Tutor, thank you for another straightforward explanation of Solving Exponential Equations in Quadratic Forms. Logs and Exponentials are common equations in science and engineering.
Thank you, you saved me from a mental break down kinda:)
Lmaoooo, same!
Thanks our best teacher...u handled me up during my first semester when things were touph, u just made everything easy for me
my glorious king😌😌😌
3:28 why is it ln3 like from where did it came
Very helpful video 😊
I used the quadratic formula in the first example. Took longer but I got the same answer 😅
you are more helpful than my teacher lmao
Very good...
Your graph at 6:40 is the wrong way around unless you've flipped the axes. And I'm assuming we're sticking to the standard rule that ln(x) is undefined when x≤0 because we aren't going to Complexland and playing with things like Euler's Identity here. 😉
😍😍
(e^x-7)(e^x+4)
(e^x-3)(e^x-2)
for the last example you got 2x=ln8 and 2x=ln6, how were you able to tell that it was 1/2ln8 and 1/2ln6
I'm sorry for interrupting but what do you mean by the answer of the last example? In my opinion, we are finding the x in the equation 2x = ln8, you can see that the 2x means that 2 multiple x so to find x, we just need to divide ln8 by 2. However, I was quite confused when I solved that example at the first time because I still cannot distinguish the differences between ln and log so I solved it like this:
2x = log2(8) so x = log2(8)/2 = log2(8)/2, = 3/2, so x = 3/2 or 1.5
But I found it incorrect from my calculator so I think that the answer in that video was true.
Jeremy Gough 1/2 ln8 =x because ln8 =2x
you divide both sides by 2
Regarding 2x=ln(8), if you divide both sides by 2 in order to get x by itself on the left side, you are left with (ln(8) / 2). Since dividing by two is the same as multiplying by 1/2, ln(8)/2 becomes 1/2 (ln(8)). The same theory can be applied to 2x=ln(6)
@@coleabrahams9331But why can't we divide ln8/2 to become ln4?
@@catvyhuynh7359ln(x) is equal to log e (x) so log2 is wrong
what if you can't factor?
quadratic
Use the quadratic formula
(ln8) /2 = ln√8 ?
1/2 is a coefficient in log, thus, it can be taken to the power
how do you find y then?
You cannot find what isnt there......lol
how to solve e^x + e^(1-x) =1
e^(2x) - e^(x) + e = 0; start with that. That's the same thing.
Therefore, e^(x) = (1 +/- sqrt(1-4e))/4. Easy.
Or, x = the ln of that answer and don't forget to put the absolute value in the argument.
(e^2x-6)(e^2x-8)
e^2x=6
e^x=√6
e^2x=8
e^x=2√2