JEE Advanced Maths: Basic Mathematics / Functions questions with solutions

Q1. For x > 0, arrange 3^x, 5^x, 2^x and 4^x in decreasing order.

1. 3^x > 5^x > 2^x > 4^x
2. 5^x > 4^x > 3^x > 2^x
3. 2^x > 3^x > 4^x > 5^x
4. 2^x > 5^x > 4^x > 3^x

Answer: 5^x > 4^x > 3^x > 2^x

When x > 0, b^x is an increasing function of b, so order the bases 5 > 4 > 3 > 2.