Algebra
Exponential Inequalities
What is the range of \(x\) that satisfies the inequality \( 2^{2x+4} < 2^{3x+8}?\)
If \(6^{a+b} < 6^{8} \) and \(5^{b-a} = 5^{4},\) what is the range of \(a?\)
If \( \frac{3^X}{3\cdot 3^Y} < 1,\) which of the following is true about \(X\) and \(Y?\)
What is the range of \(x\) that satisfies the inequality \( 3^{x+5} < 3^{7}?\)
What is the range of \(x\) that satisfies the inequality \( 2^x < 8?\)