What is the value of log25 between two consecutive integers?

1 Answer
Mar 16, 2018

2<log25<3

Explanation:

Note that log2x is a strictly monotonically increasing function from (0,) onto (,)

We find:

22=4<5<8=23

Since log2 is a strictly monotonically increasing function, we can take the logarithm base 2 of all parts of this inequality to get:

2=log24<log25<log28=3