# How do you write the equation #log_(1/5) (25)=-2# in exponential form?

##### 1 Answer

Oct 8, 2016

#### Explanation:

Recall:

The two forms are interchangeable and give the same information, just with a different subject.

Remember: "The base stays the base and the other two swop around"

**asks the question:**

"What power of 10 will give 100?" Or

"What index will make 10 into 100?" The answer is 2.

**states that** 10 raised to the power of 2 will give the answer 100.

Let's check: