A Nice Algebra Problem | Math Olympiad | A Nice Exponential Equation

math olympiad
olympiad math
math olympiad question
math olympiad questions
math olympiad problem
math olympiad problems
olympiad math problems
algebra olympiad problems
math
maths
algebra
algebra problem
nice algebra problem
a nice algebra problem
equation
exponential equation
a nice exponential equation
radical equation
a nice radical equation
math tricks
imo
Find the value of x?
How to solve How to solve 2^x-1 = 2x
In this video, we'll show you How to Solve Math Olympiad Question A Nice Algebra Problem 2^x-1 = 2x in a clear , fast and easy way. Whether you are a student learning basics or a professtional looking to improve your skills, this video is for you. By the end of this video, you'll have a solid understanding of how to solve math olympiad exponential equations and be able to apply these skills to a variety of problems.
#matholympiad #maths #math #algebra

[mathsn]

Added my subscription ❤❤my fellow Mathematician content creator 🎉🎉

[patk]

Very well explained in a clear concise way to abbreviate the lambert w function structure identity... even though l haven't read or get myself abreast to the lambert w function, l really understand your clarity in explanation... Many have race the details etc.

[dougnettleton]

2^(x-1) = 2x
=> 2^x / 2 = 2x
=> 2^x = 4x
=> x × log base 2(2) =
log base 2 (4x)
=> x = 2 + log base 2(x)
=> x = 4, since log base 2(4) is 2 and 2 + 2 is 4.

[فیروزاهنگری]

2^(x-1)×1/2=(2x)×1/2
2^(x-2)=x, [2^(x-2)]^1/(x-2)=x^1/(x-2)
2=x^1/(x-2), 4^1/2=x^1/(x-2)
4^1/(4-2)=x^1/(x-2) , x=4

[prollysine]

, -4*ln2==-ln(4x), /*(-1), ln16=ln4x, 4x=16, x1=4, test x1, 2^3=8, 2*4=8, OK,
W(-ln2/4)=-ln(4x), x=e^(-W(-ln2))/4, x2=~ 0.309907, 0.619814=0.619814, OK,