An Exponential Log Equation

🤩 Hello everyone, I'm very excited to bring you a new channel (aplusbi)
Enjoy...and thank you for your support!!! 🧡🥰🎉🥳🧡
/ @sybermathshorts
/ @aplusbi
❤️ ❤️ ❤️ My Amazon Store: www.amazon.com/shop/sybermath
When you purchase something from here, I will make a small percentage of commission that helps me continue making videos for you.
If you are preparing for Math Competitions and Math Olympiads, then this is the page for you!
You can find ARML books and many others here. CHECK IT OUT!!! ❤️ ❤️ ❤️
❤️ A Differential Equation | The Result Will Surprise You! • A Differential Equatio...
❤️ Crux Mathematicorum: cms.math.ca/publications/crux/
❤️ A Problem From ARML-NYSML Math Contests: • A Problem From ARML-NY...
❤️ x^(log3) + x^(log5) = 8
❤️❤️ Solving A Differential Equation: • Solving A Differential...
⭐ Join this channel to get access to perks:→ bit.ly/3cBgfR1
My merch → teespring.com/stores/sybermat...
Follow me → / sybermath
Subscribe → ruclips.net/user/SyberMath?sub...
⭐ Suggest → forms.gle/A5bGhTyZqYw937W58
If you need to post a picture of your solution or idea:
intent/tweet?text...
#radicals #radicalequations #algebra #calculus #differentialequations #polynomials #prealgebra #polynomialequations #numbertheory #diophantineequations #comparingnumbers #trigonometry #trigonometricequations #complexnumbers #math #mathcompetition #olympiad #matholympiad #mathematics #sybermath #aplusbi #shortsofsyber #iit #iitjee #iitjeepreparation #iitjeemaths #exponentialequations #exponents #exponential #exponent #systemsofequations #systems
#functionalequations #functions #function #maths #counting #sequencesandseries
#algebra #numbertheory #geometry #calculus #counting #mathcontests #mathcompetitions
via @RUclips @Apple @Desmos @NotabilityApp @googledocs @canva
PLAYLISTS 🎵 :
Number Theory Problems: • Number Theory Problems
Challenging Math Problems: • Challenging Math Problems
Trigonometry Problems: • Trigonometry Problems
Diophantine Equations and Systems: • Diophantine Equations ...
Calculus: • Calculus

[@francorota8638]

I like that what matters the most in this channel is the way you get to the answer, rather than the answer itself.

[@BukhalovAV]

For log based 10 usually is used lg.
For natural log - ln.
Don't know, why English speakers mathematicians don't use this designation, but in Russian school we always use
lg for 10,
ln for e
and log for other bases, and we don't have problems with discrepancies.

[@SidneiMV]

x^(log3) + x^(log5) = 8
x = 10^u
10^(ulog3) + 10^(ulog5) = 8
3^u + 5^u = 8 => u = 1
=> *x = 10*

[@rakenzarnsworld2]

3+5=8
x = 10

[@Nothingx303]

I solved it using my foot 😊 by just interchanging the logarithmic argument with the Exponential base after that I compared which one of my leg smells better 😅 then I got 10 as the final answer
Caution:- Don't try this at school 😊

[@mtaur4113]

I have gotten too used to log being used for base e. In some situations it's the accepted convention. I'm not sure whether it's a Newton's Method or if you could rig up a Lambert W if the numbers were less convenient, such as if the RHS were 9.

[@scottleung9587]

I got x=10 right away.

[@Fire_Axus]

it is (hroot^log_3(5)(8))^(1/log3)

[@DonEnsley-yi2ql]

x=10

[@YT_Admin_]

I could see the answer (10) in just one second but your solution is satisfying

[@SweetSorrow777]

Yup, I see it, too.

[@Fire_Axus]

spoiler: there are no other complex solutions

[@glumbortango7182]

That's assuming you're restricted to the range (0,2π) for the angle, there's infinitely many solutions otherwise (one of them is roughly 25.3023 * e^(9.7167i) for example)