A Nice Algebra Problem | Math Olympiad | Find the x=?

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Find the value of x?
How to solve (e^x-e^-x)/2=1

In this video, we'll show you How to Solve Math Olympiad Question A Nice Algebra Problem (e^x-e^-x)/2=1 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

[HHL-vo]

ln(1-root2) = ln(-0.4142)=


let -1 =e^iπ
ln(e^iπ)+ln(0.4142)

x2 = iπ+ln(0.4142) = −0.8814+iπ

[murdock]

e^x = k → k^2 - 2k + 1 = 2 → k > 0 → k = √2 + 1 = e^x → xln(e) = x = ln⁡(√2 + 1)

[andreasglaser]

Set y = e^x -> x=ln y

(y-1/y)/2=1

y-1/y=2

y^2-1=2y

y^2-2y-1=0

y1, 2=1+-sqrt(2)

y1=1+sqrt(2)
y2=1-sqrt(2)

x1=ln(1+sqrt(2))
x2=ln(1-sqrt(2)) ->no solution

[georgelaing]

This is just a high school problem,
not on an olympiad level.

[jjkk]

have you listened "complex numbers"?