# How do you write the following expression as a single logarithm: log 5 - log x - log y?

##### 1 Answer

May 23, 2018

#### Answer:

#### Explanation:

We have two properties in Logarithms that can be used in solving this question

#log_m(a) + log_m(b) = log_m(a*b)#

**proof :-**

Let :

and

So,

From 1 and 2 ;

By writing

and

#log_m(a) - log_m(b) = log_m(a/b)#

**proof:-**

Let :

and

So,

From 1 and 2 ;

By writing

**The given question is :**