A Natural Log Equation | 10^{1+ln(x)}=x

[@BOBPERIO2]

Thank you for the wonderful content. I look forward to your videos every day! 👍🏻

[@SyberMath]

Happy to hear that! Thank you! 🥰

[@stvp68]

I always love seeing the graphs

[@SyberMath]

Glad to hear that!

[@adamrussell658]

As usual, the third method was the elegant one. I did method 1 but thought I didnt have it because the answer looked too ugly!

[@murugan_singh]

I love your channel...thanks for sharing such satisfying problems :)

[@guyrichard8278]

Always interesting and well explained. You should be a math teacher!

[@SyberMath]

Thanks! 😁

[@dariosilva85]

Could you please provide an approximate value when your solutions are not integers?

[@SyberMath]

Sorry. Forgot to do it this time. Plz check: www.wolframalpha.com/input?i=10%5E%7B1%2Blnx%7D%3Dx

[@seroujghazarian6343]

10^(1+ln(x))=x (1+ln(x))ln(10)=ln(x) ln(x)(1-ln(10))=ln(10) ln(x)=-ln(10)/(ln(10)+1) x=10^(-1/(ln(10)+1))

[@ChristopherEvenstar]

Thank you. I enjoyed it. I had a dream the other night that I was an equation and that my right side equaled to one. It was very disorienting. I blame/credit you.

[@SyberMath]

Wonderful! 🤩😜😁

[@tbg-brawlstars]

x = 10^(log(e) base (e/10)

[@nkshraban]

i got the same ans

[@broytingaravsol]

​x=e^[ln10/(1-ln10)]

[@squeezy8414]

I believe the answer is e^(ln10/1-ln10) but I imagine there's a way to simplify this somehow

[@SyberMath]

e^ln10=10

[@squeezy8414]

​@@SyberMath ah so 10^(1/1-ln10)? I think I prefer the e form but yeah that's pretty good as well

[@forcelifeforce]

@@squeezy8414 No, see my comment about how to write this out in horizontal style. This is irrespective of whether this, or the other intended expression, are correct answers.

[@squeezy8414]

@@forcelifeforce Sorry i can't find your comment, what do you mean horizontal style?

[@omjagati5390]

Please try 🙏

[@scottleung9587]

For some reason, I got x=10^(log(e)/(log(e)-1)). Is that the same thing?

[@gibson2623]

your answer needs more simplifying

[@scottleung9587]

@@gibson2623 how exactly would I simplify it?

[@dandeleanu3648]

@@scottleung9587 see minute 03:20

[@SyberMath]

There are many different ways to write it. As long as your answer matches up with this, you're good: www.wolframalpha.com/input?i=10%5E%7B1%2Blnx%7D%3Dx

[@scottleung9587]

@@SyberMath thanks! I got just about the same decimal approximation.

[@barakathaider6333]

👍

[@gibson2623]

nice

[@SyberMath]

Thanks

[@omjagati5390]

Sir why not you solv functional equation many times

[@alextang4688]

This question is not difficult. I solved using method 2. 😃😃😃😃😃😃

[@Eduardo-zt6td]

Same

[@giuseppemalaguti435]

x=10^(1/(1-ln10))=0,17072449..

[@kevinmadden1645]

That is what I got!