Problem Set #2

Just like last time. Choose 1 of your favorite questions and write something about it.
Ideas:
Explain how you solve it.
Why do you like this question?
What have you learned about the process of problem solving.
Have fun.

My Pick: What is the largest x value that will satisfy the following inequality?

This question seems impossible at first because 3^500 is too big for the calculator to handle. To solve for x, first take 200th root for both sides! No one will ever take 200th root of a number in real life, but the principles of math work for both small and large numbers. Take 200th root is same as raise it to the power of 1/200 (this is what we just learned!!). And exponent law says power on power is to multiple the power. 3^(500/200) or simplier 3^(5/2) is something the calculator will accept. The largest x is 15.

I learned that big numbers are not scary because math principles work the same no matter how big or small the numbers are.