Algebra
# Exponential Inequalities

How many positive integers $x<1000$ satisfy the inequality $x^{3x+1} > x^{x+139}$?

Which of the following satisfies the inequality $3^y \geq 4^x - 2 ?$

What is the minimum value of $x$ that satisfies the inequality $2^{2x} - 127 \cdot 2^x -128 \geq 0$?