# How do you determine values for a and b that satisfy the double inequality #3<log_a(b)<4#?

##### 1 Answer

Jan 21, 2017

In base a, your number must be between

#### Explanation:

For example, if your base was 10, your numbers would be between 1000 and 10,000. In interval notation, (1000,10000).

Check:

In base 2, they should be between (8,16).

Check:

Try any other base to make sure!