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We will solve these two very popular exponential types of equations, x^x^3=2 and x^x^3=3. The equation in the form of x^x^n=n is actually one of the classic famous coffin problems. This isn't the type of equations you will see in your typical algebra class but you should know them for math competitions. We will also use the Lambert W function to solve x^x^3=2.
Check out all the details you should know for the Lambert W function: • Lambert W Function (do...
Check out the list of the Coffin problems: www.tanyakhovanova.com/Coffins...
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solving x^x^3=2 0:33
solving x^x^3=3 3:52
*The Journey to the Infinite Power Tower*
Part1: Solving x^x^3=2 vs. x^x^3=3 • they don’t teach these...
Part2: Solving x^x^...=2 vs. x^x^...=3 • Infinite Power Tower E...
Part3: Domain and Range of y=x^x^... • Domain and Range of th...
Part4: Why (cbrt(3))^(cbrt(3))^... converges to 2.4 and NOT 3? • Why it doesn't converg...
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