# How do you prove #(log_(a)x)(log_(x)a)=1#?

##### 1 Answer

May 6, 2016

Please see below.

#### Explanation:

Let

hence

and let

hence

Putting value of

or

or

Now putting back values of

May 6, 2016

Please see below.

Let

hence

and let

hence

Putting value of

or

or

Now putting back values of