# Given log2=.3010 and log3+.4771, how do you evaluate #log(3/2)#?

##### 1 Answer

#### Answer:

#### Explanation:

Let's review a few important properties of logarithms, easily derived from its definition:

(1)

because

(2)

because

(3)

because

(4)

because

You can get more details about logarithms at Unizor by following the menu options *Algebra - Logarithmic Functions*.

Using the property (3) above,