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: https://youtu.be/Qb7JITsbyKs
Check out the list of the Coffin problems: http://www.tanyakhovanova.com/Coffins/coffinsmain.html
Hello 0:00
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 https://youtu.be/Dbs6qhSVU5w
Part2: Solving x^x^...=2 vs. x^x^...=3 https://youtu.be/xaBhTU01vsA
Part3: Domain and Range of y=x^x^... https://youtu.be/oy_kPyTstqk
Part4: Why (cbrt(3))^(cbrt(3))^... converges to 2.4 and NOT 3? https://youtu.be/_xxPckmh9Fc
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