Which is larger 3x or x 100?

Answer 1

It depends on the value of x. By the way, I think you mean x^100 so I will answer based on that.

For 0<x<1, 3x > x^100

This is because x is a fraction which is less than 1. Therefore, multiplying it by itself will make an even smaller fraction whereas multiplying it by 3 (a number larger than 1) will make it a larger fraction. If you want to check this, try working it out using x = 0.1

For x>1, 3x <= x^100

This is because x is larger than 1 so it will increase when multiplied by itself. It makes sense that it should be greater than 3x in this case. Try using x = 2.