# How do you calculate #log_11 (1/sqrt 11)#?

##### 1 Answer

Sep 8, 2016

#### Answer:

#### Explanation:

The question being asked in this log form is..

"What index/power of 11 will give

The answer is not immediately obvious, so let's use some of the laws of indices to change

because we can see that 11 has the index

We could also get to the same result by using the change of base law.