# Calculate Logarithms 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’s take two examples, each for the sum and difference of logarithms. loga⁡√(x2 + 1) Now, in this scenario, the above scenario will be separated by using the log property of multiplication. loga x + ⁡loga⁡ (x2+1) (1/2). Now, the property of exponents will be applied in the second term, where 1/2It will be written first. loga x + 1/2 loga⁡ x2 + 1 The next example log xa/xb . This is where we can apply the quotient property and the exponent property of the logarithm. logxa - logx b. alogx - blogx.

• ### Basic Lesson

Demonstrates how to take on basic log addition and subtraction. We go through all the steps.

• ### Intermediate Lesson

Explores how to use larger number sets in the unit.

• ### Independent Practice 1

Contains 20 Calculate Logarithms problems. The answers can be found below.

• ### Independent Practice 2

Features another 20 Calculate Logarithms problems.

• ### Homework Worksheet

Calculate Logarithms problems for students to work on at home. Example problems are provided and explained.

• ### Topic Quiz

See how well you know this topic. A math scoring matrix is included.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

#### Thomas Mann on Math

Math as a new form of birth control? What was he thinking? "I tell them if they will occupy themselves with the study of mathematics, they will find in it the best remedy against the lusts of the flesh." -- Thomas Mann