4 to the y = 10, many don’t know where to start

[@juststartingover2735]

Middle school is where I learned to hate math….the teacher only gave attention to the students who knew how to do the mathematics he was teaching. For students like me, who were very shy and never wanted to bring attention to myself, it was like being invisible. Not once all year did the teacher ask me (before, during, or after class) if I wanted help…even though I was failing the class from very early on. One teacher began the lifelong math phobia. I do appreciate your videos. Thank you.

[@jald910]

Thanks to your videos I did know how to this. On the other hand , Its been 50 years since my last math class ( college calculus) and I’ve never had a reason to do such a problem in real life.

[@markcrites7060]

This is an extremely long way to a very simple answer. Even if I didn't understand how logarithms work I could always just use iterative interpolation to get an answer as accurate as I need.

[@devonwilson5776]

Greetings. The expression is rewritten as Log 4^y= Log 10. YLog4 = Log 10, and Y= Log 10/Log4 = 1/.6021=1.6610.

[@vladimirbozoki8051]

Ustvari kome ovo treba. 16:56 vremena za nešto što se može riješiti napamet, u glavi. Uistinu kome ovo treba?

[@peterho5778]

Just a suggestion, I probably introduce Ln instead of Log and directly explain how to solve it as your video from 13:20 onwards.

[@vintom7457]

Good but too many tangets in the lesson. What diversions didn't you need to put in?

[@danieldennis9831]

From what I understand, y=1/log4 or y=log₄10 or y≈1.661

[@StephenRayWesley]

{8+2}= 10 (x+2x-8)

[@StephenRayWesley]

2.2 2.2 (x+2x-2) (x+2x-2)

[@0424cracker]

Your answer is to "break out the calculator". How do you do it without a calculator??

[@rick420buzz]

The traditional way was to use the log table in the back of your math book.

[@jerry2357]

To expand on the answer from @rick420buzz, you use the table of common logarithms (i.e. logs to the base 10). You don't need to look up log(10), because it's 1 by definition. So you only need to look up log(4). If you want to do the whole thing using log tables (i.e. if you're a glutton for punishment), you then look up the log of log(4). log(1)=0. You can divide by subtracting logs: log(x/y)=log(x)-log(y), so in this case log(Y)=0-log(log(4)). Having worked out what log(Y) is, you use the antilog table to look up what Y is, based on your calculated log(Y). I'm old enough to have done this at school, because we weren't allowed to use calculators in exams until I was 16. Using a calculator is a LOT easier!

[@MathsMadeSimple101]

You memorise the answer on the calculator, so you don't need a calculator when that particular question comes up in the future

[@keithmills778]

Slide rule. I guess that’s sort of a calculator, though.

[@donburtner6575]

The reason I had such a hard time with math is because teachers would say things like; you can just bring the Y down, such that…Ylog 4 = …because it’s the property of logs…I’m sorry why is that the property of logs??? What if the equation was 4 to the power Y, which is in turn to the power of X. Now how does the property of logs work? I had an advance calculus class in college and the math teacher broke us up into thirds, chemistry majors (me), physics majors and math majors, then taught us the calculus we needed to know for our discipline. It was the first time I really understood calculus.

[@wcruzwc62]

4^y = 10 y log 4 = log 10 y = log 10/log4 y = 1/.602 y = 1.66

[@johngilden2620]

I agree. Shorten the unnecessary talk.

[@russelllomando8460]

Good one, thanks

[@aryusure1943]

I need practice on this type of problem. :( BTW, log 10 = 1 You said it would be a decimal and it got me confused. I thought my calculator was broken. ;)

[@StephenRayWesley]

2.2 2.2 (x+2x-2) (x+2x-2)

[@darellpiper7227]

1.66

[@thomasharding1838]

log10 divided by log4 and in this case, ln10 divided by ln4 also works. (I didn't say it doesn't work in every case, did I?)

[@mikechappell4156]

The math problems are fun, but 15 minutes for 2 minutes content isn't worth it.

[@idlesquadron7283]

true. his shorts content is literally the same content lol

[@jamesharmon4994]

The point of these videos is not "to have fun." The point is to learn something new to you.

[@maureenwilberforce9129]

You are not the only one this video is for. This is also for people who are trying to refresh their knowledge in math. That is the whole point of these basic math videos, and is very beneficial for those of us who have forgotten how to solve basic problems. Clearly that isn't you, so rather than making a negative comment, why not skip this types of videos and move on to more advanced math videos. It is as simple as that.

[@jamesharmon4994]

@maureenwilberforce9129 Agreed. The problem with most math classes is that all-too-often, the teacher tries to spit out as much information in a class as possible and skips explaining the "why" behind the reasons for doing things. As you see here, the "why" can take time and explains the reason it is skipped so often.

[@robertlangley258]

Mike, next time go pinch a loaf before watching these videos. It'll help you calm down and smell the roses......er, wait a minute, you just came from the bathroom and if you didn't wash your hands you probably can't smell roses at all.

[@bobcornwell403]

Y = log 10/log 4 or approximately 1.66.

[@harrymatabal8448]

Start with ok

[@heli4630]

2.5

[@HelenMontgomery]

6

[@stevejones9905]

1.6611

[@jerry2357]

1/log10(4) EDIT: After watching the video, if you use logs to the base 10, then log(10)=1

[@TheAZZA0990]

Approx. 1.66 !! :)

[@charlesstarling1091]

Y=2.5

[@StephenRayWesley]

.{ 8+2}= 10 (x+2x-8)!

[@martinfiedler4317]

Roughly 1.66

[@faithchiamaka8363]

4y=10 so 10/4=2.5 , then y=2.5

[@idlesquadron7283]

This is 4^y, not 4y. that's because the y was superscripted!

[@faithchiamaka8363]

@@idlesquadron7283 okay so it is 4 raised to the power of y.

[@bobgregory5713]

Start at 15mins to avoid this tedious man's voice

[@bkp_s]

Really exhausting video in terms of time otherwise could have been better.

[@irenehenjumfineart]

Remind me what logarithms are used for in the real world.

[@StephenRayWesley]

Most people do not use Tham in the real world but does not mean Logarithms are not useful

[@idlesquadron7283]

anything exponential.

[@teresagreco7596]

1.66