# How do you solve #log(x-3)+log x=1#?

##### 2 Answers

5

#### Explanation:

logarithms on the left side may be added together by multiplying argumnts, on the other side we can rewrite number 1

Logarithm is a simple function, therefore we can compare arguments

Since argument of logaritm can be only positive,

See below

#### Explanation:

The goal with type of problems is to get a expresion like

Let see...

Using logarithmic rules

Then

However 10=5x2 or 2x5, or negatives ones. Let say

If

Other way is operate in

Lets check the answers

By other hand

So, the only solution is