# Express as a Single Logarithm Worksheets

How to Find Sums and Differences of Logarithms? In the study of algebra, there are many properties you come across with different problems, such as commutative, associative, or distributive properties. The same is the case for logarithm, and there are different properties that let you solve different complex equations easily. Logarithm lets you transform products into sums and quotients into differences. Let us take two examples, each for the sum and difference of logarithms. Now, in this scenario, the above scenario will be separated by using the log property of multiplication. Now, the property of exponents will be applied in the second term, where It will be written first. The next example. This is where we can apply the quotient property and the exponent property of the logarithm.

• ### Basic Lesson

Demonstrates how to evaluate a single logarithm.

• ### Intermediate Lesson

Explores how to evaluate a single logarithm with an operator.

• ### Independent Practice 1

Contains 20 Express as a Single Logarithm problems. The answers can be found below.

• ### Independent Practice 2

Features another 20 Express as a Single Logarithm problems.

• ### Homework Worksheet

Express as a Single Logarithm problems for students to work on at home. Example problems are provided and explained.

• ### Topic Quiz

10 Express as a Single Logarithm problems. A math scoring matrix is included.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

#### Quick Measurement Problem

The length of a rectangle is 9 centimeters more than half the width. Find the length if the perimeter is 60 centimeters. Answer: Length is 16 cm and the width is 14 cm. Solution: 60 cm= 2 width + 2 (9+1/ 2 width)