I dread to think what would happen if you tried to do some actual applications of logarithms like pH concentrations or calculating decibel scales. You’d get some hilariously dangerous answers. This is why we still need humans to check these numbers, at least for now.
Ai doesn't struggle, unless if it's poorly made. In this case, ChatGPT hasn't been trained to actually read and solve math problems, so it's naturally going to be bad at it.
My students use mathway, symbolab, and photo math for worked out math stuff. ChatGPT was super cool for creating problems. I asked it to create a related rates problem and it did. It’s always difficult to create those applications so that’s awesome. I don’t really care that students use this stuff. It can be used for good when they are stuck and it’s not like they can use it on the exams
I mean if they're already 😅😊 used to using it in class for assignments and stuff homework at home might as well just use it on the test I guess 😁😜 lmaooo why not!!!
@@mnnr9310 ive my mba entrance cmat exam in india, it has quants as subject.. I can cheat using phone but which app should i use or website or ai free ones
Hey Brian, I am 20+ years out of high school (surreal). Came across your channel, you are an awesome math teacher. Keep up these helpful videos for next generation!
He is not a math teacher, he has made a plenty faults in his results. First for every log(f(x)) expression f(x) must be > 0, and then he has to find x which make f(x) > 0 for each expression and then do the intersection of each set of solutions, he is the worst teacher i have seen on internet.
You should make a follow up with Chat GPT 4, ask it the exact same prompts and see if it's improved and/or fixed the errors. Then throw it some new curveballs like "solve all of theoretical physics" or "calculate the probability of my dad returning with the milk 20+ years later"
I agree that for creating the problems was handy. I got some 2x2 linear systems of eqs. from the AI, then I requested the AI to give me the solutions and the solutions provided were wrong. When it cames to math I would use this tool for creating the problems only.
I tried something really basic to see if I could trust it or not. I did i^4 and I think it gave me -1 or -i, or something. From then I immediately knew it wouldn't be good for getting exact answers that I can count on.
I just tried your question with the following prompt "In mathematics, what is i ^ 4? Let's think about step by step." Then I got the following answer from ChatGPT: " In mathematics, the symbol "i" represents the imaginary unit, which is defined as the square root of -1. It is a fundamental concept in complex numbers, which are numbers of the form a + bi, where a and b are real numbers and i is the imaginary unit. To evaluate the expression i ^ 4, we can use the rule that any number raised to the fourth power is the same as that number multiplied by itself four times. In other words, we have: i ^ 4 = i * i * i * i Since i is the square root of -1, we can rewrite this expression as: i ^ 4 = (-1) ^ (1/2) * (-1) ^ (1/2) * (-1) ^ (1/2) * (-1) ^ (1/2) Using the rule that (a^m) * (a^n) = a^(m+n), we can simplify this expression to: i ^ 4 = (-1) ^ (1/2 + 1/2 + 1/2 + 1/2) Which simplifies to: i ^ 4 = (-1) ^ 2 Finally, using the rule that a^m * a^n = a^(m+n), we can simplify this expression to: i ^ 4 = (-1) ^ 2 = 1 Therefore, the value of i ^ 4 is 1. " Let me know what is answer is like because I'm far from a trained mathmatician. My point of my reply is that if you feed ChatGPT or any AI model garbage, it will output garbage. With the inevitable rise of AI, it will become more important for STEM students/professions to improve their liguistic skills and criitical thinking skills.
Part of the ELA or research curriculum in schools should be a how-to unit on honing AI prompt creation skills to produce focused results in the fewest number of steps.
The solution at 1:54 would not be all real numbers. You need to consider extraneous solutions - for instance, consider x=0. Here, the solution would be all values strictly greater than 1. The AI probably gave two as this is the first integer solution.
yeah, not sure how a math channel would miss checking for extraneous. and ChatGPT is a language model, it would need to be trained on lots of Mathematics language to even stand a chance to solve math properly. it's just pattern fitting things it's read before
@@projeKct5 you can't plug in anything less than negative 1. it'd make the inside of log(x+1) a negative which isn't allowed in the real number system.
Hey, it not right the solution to the third log problem is all real numbers. You need to make sure that x and x+1 to be positive in order log x and log x+1 make sense. Hence the solution is the set of all positive real numbers.
The first anz you are doing wrong. as the x in log x is impossible to equal to 0 or negative therefore the anz should be any real numbers but not equal to -1 to +1
I’ve been trying to teach it to do solve for solids of revolution and it’s funny to see it ask for another problem so confidently only to end up me explaining how it messed up adding fractions 😭
I found your video by asking Google if "AI can teach me algebra". I was really hoping to see that it had the capability of extinguishing the world from the burden known as Pedmas... Can you imagine? Over 400 years with the same broken system, all because it was good enough for dad.
Chachi PT is no help in calculus two it will help you if you don’t understand the concept but nine times out of 10 the problems are wrong my best guess is that it was trained on a lot of Quizlet and shag answers and half of those are wrong so it’s logic is probably a little messed up when it comes to calculus lol
I'll be impressed when the future versions can solve most or all math word problems correctly. I tried a middle school math word problem and BingGPT had trouble solving it correctly: Angela uses 7 1/2 inches each of 6 different colors of embroidery floss to make one friendship bracelet. Each package of floss contains 26 feet. How many friendship bracelets can Angela make if she has one package of each color? The answer is 41.6 or 41 complete bracelets.
only 3 problems in so far and ChatGPT has 0 correct for a 0% and the video creator has 1 correct for 33 1/3%. both failing. check for domain restrictions with all log solutions.
Bruh you're not a math teacher. Youre a RU-vidr. All real numbers is not the "solution" to the first equation/identity you showed. Wow. That's like 8th grade math. I hope you're aware that you cannot take the log of a nonpositive number.
I have chat gpt the folowing question 6x-4=12x-6 solve for x The answer was Sure! Let's solve the given equation step by step: 6x - 4 = 12x - 6 Step 1: Move like terms to one side Subtract 6x from both sides of the equation to move the "6x" term to the right-hand side: 6x - 6x - 4 = 12x - 6 - 6x This simplifies to: -4 = 6x - 6 Step 2: Add constants to the other side Add 6 to both sides of the equation to move the constant term to the right-hand side: -4 + 6 = 6x - 6 + 6 This simplifies to: 2 = 6x Step 3: Divide by the coefficient of x Divide both sides of the equation by 6 to isolate x: 2/6 = 6x/6 This simplifies to: 1/3 = x So the solution to the given equation is x = 1/3, or in decimal form, x ≈ 0.3333. I hope this helps! Let me know if you have any further questions. I'm here to assist you
