**Properties of Logarithms**
**--Part II**

Mastering algebraic properties of logarithms requires much practice. To help you along, here is a list of basic properties.

**Properties of Logarithms**

**1)**
** **
** , **
** **

**2) **

**3) **

**4) **
** **

**5) **
** **

**Problem 1. **
Express in terms of sums and differences of logarithms.

.

**(A) **

**(B) **

**(C) **

**(D) **

**CLICK HERE FOR SOLUTION OF PROBLEM 1**

**Problem 2. **
Simplify

.

**(A) **

**(B) **

**(C) **

**(D) **

**CLICK HERE FOR SOLUTION OF PROBLEM 2**

**Problem 3.**
** **
Express in terms of sums and differences of logarithms.

.

**(A) **

**(B) **

**(C) **

**(D) **

**Problem 4. **
Simplify

.

**(A) **
**(B) **
**(C) **
**(D) **

**Problem 5. **
Simplify

.

**(A)**
**(B) **
Can't be simplified
**(C) **
** (D) **

**Problem 6. **
Simplify

.

**(A) **
** (B) **
** (C) **
** (D) **

*Precalculus Tutorials, B. Kaskosz and L. Pakula, 2002.*