Given x^(x^(x^(1/2))) = 1/2, what is x?

Published: 01 April 2022
on channel: Dr. Yap Keem Siah
347
17

#short
#exponential
#algebratricks

Thanks for watching my video. Please subscribe to my channel.
   / dryapkeemsiah  

Following are some of my videos on calculus, algebra, logarithm and trigonometry:
Calculus/Integration
[1] Solving Gaussian Integral (integration of gaussian function) by Feynman’s Method.
   • Solving Gaussian Integral (integratio...  
[2] Created another 1 minute video for Happy π day! Solve an integral and the answer is π!
   • Created another 1 minute video for Ha...  
[3] Solving integral x^(9)*(x^(10) + 1)/(x^(20) + 1) dx. Can we solve it using substitution?
   • Solving integral x^(9)*(x^(10) + 1)/(...  
[4] Solving integral 1/(-sqrt(x^2 + 4*x + 3)) dx. Can it be solved by substitution?
   • Solving integral 1/(-sqrt(x^2 + 4*x +...  
[5] Solving sum of k=0 to ∞ for integral sin^(2k) (x) dx. Solution is much easier than expected!
   • Solving sum of k=0 to ∞ for integral ...  
[6] Solving area of region bounded between 2 curves, i.e., {(x,y): x^2 ≤ y ≤ x + 2} using integration.
   • Solving area of region bounded betwee...  
[7] Solving integral (x^2 - 1)/(x^4 - 1) dx.
   • ∫(x²- 1)/(x⁴ - 1) dx. Solve an intere...  
[8] Given y=kx^2, x=ky^2, k is +ve constant & area enclosed between parabola curves is 1 unit^2. Find k.
   • Given y=kx^2, x=ky^2, k is +ve consta...  
[9] Given f(x) = integral (x^5-16x)/(x^8-256) dx and f(-2) = π/32. Find f(2). Explanation in 60 seconds
   • f(x) = ∫ (x^5-16x)/(x^8-256) dx and f...  
Algebra
[1] Is this a quartic or quadratic problem? Can we solve it within 60 seconds and without calculator?
   • Solving sqrt(100*102*102*104 + 4). Is...  
[2] Solving (10016*104*12*8 + 256)^0.5 but without using calculator & computer. Answer is a nice number!
   • √(10016*104*12*8 + 256). Solve withou...  
[4] 15 seconds video on solving sqrt(10300 - 9*10*10*11) without using calculator and computer.
   • 15 seconds video on solving  sqrt(103...  
[5] Given x^2 - x - 1 = 0, solve cos^1 ((3/2)*(7*x + 1)/(x^9 - 18*x - 13)).
   • Given x^2 - x - 1 = 0, solve cos^1 ((...  
[6] An infinite radical equation, i.e., sqrt(3*sqrt(7*sqrt(…))) solve by Geometric Series.
   • An infinite radical equation, i.e., s...  
[7] If (√ 2 + √ 3)^11 = a √ 2 + b√ 3, then (a² - (3/2)*b²)^11 = ?
   • If (√ 2 + √ 3)^11 = a √ 2 + b√ 3, the...  
[8] Given (|x-3| - 4)^2 = 4. How many answers for x?
   • Solving (|x-3| - 4)^2 = 4. How many a...  
[9] Solving an interesting infinite power equation.
   • Solving an interesting infinite power...  
Logarithm/exponential
[1] Solving a finite power equation of (ln(x))^2. The solution is surprisingly easier than expected.
   • Solving a finite power equation of (l...  
[2] Given that ln(3) is approximately equal to 1.099, find ln(3.1) using calculus without calculator.
   • Given that ln 3 is approximately equa...  
[3] Solving x^(ln x) = x for real numbers. How many answers for x?
   • Solving x^(ln x) = x for real numbers...  
[4] Solving a radical-absolute equation. Is this a quadratic equation too?
   • Solving a radical-absolute equation. ...  
[5] Solving a logarithm-quadratic question of Stanford Math Tournament 2021. Calculator is not allowed.
   • Solving a logarithm-quadratic questio...  
[6] 15 seconds video to explain the answer for ln(-1) based on principal value of trigonometry.
   • 15 seconds video to explain the answe...  
[7] 15 seconds video on solving x^(ln|x|) = 1/|x|. There are 4 answers for x?
   • x^(ln|x|) = 1/|x|. 15 seconds video. ...  
Trigonometry
[1] Solving a trigonometry-power equation? Solution is fairly simple and can be explained in 60 seconds.
   • Solving a trigonometry-power equation...  
[2] 45 seconds video deriving cos(-θ)=cos(θ) & sin(-θ)=-sin(θ). Basic identities of trigonometry Part 5.
   • 45 seconds video deriving cos(-θ)=cos...  
[3] 15 seconds video for deriving sec^2(x) = tan^2(x) + 1. Basic identities of trigonometry Part 1.
   • 15 seconds video for deriving sec^2(x...  
[4] 15 seconds video for deriving sin^2(x) + cos^2(x) = 1. Basic identities of trigonometry Part 2.
   • sin²(x) + cos²(x) = 1. Derivation of ...  


Watch video Given x^(x^(x^(1/2))) = 1/2, what is x? online, duration hours minute second in high quality that is uploaded to the channel Dr. Yap Keem Siah 01 April 2022. Share the link to the video on social media so that your subscribers and friends will also watch this video. This video clip has been viewed 347 times and liked it 17 visitors.