These worksheets will give your students a review of converting logarithmic expressions into exponential form.

Logarithms follow very similar rules and procedures as exponents. They follow a Product, Power, and Quotient Rule. The Product Rule tells us that the log of a product is equal to the sum of log of the first and second base. The log of a quotient is the difference of the logs of numerator and denominator. The Power Rule is used when we are looking for the log of a power. The log of any power is equal to the product of the power and the log of the base. There is also a formula for when we are changing bases. It states that the log of a new is the long of the old divided by the new base.

Logarithmic and exponential forms are an important aspect of mathematics. Since they are the core concepts used to calculate the magnitude intensity of an earthquake. For instance, you can compare the magnitudes of two earthquakes, by converting between logarithmic and exponential form. Let us take an example to improve our understanding. The amount of energy released from the first earthquake was 400 times greater than the energy released from the other. The equation that represents this is the problem is 10y = 400, where y is the difference in magnitude showed on the Richter scale. We have to solve for y. Now, there are many ways to convert them. The first is by using graphs. However, estimating from graphs can may give you an approximate answer. Thus, we use a log to convert the above exponential function in a logarithmic function. Let's find out practically. First, we have to learn the values of b, and y, to write the equation in log form. The b is the base for log form, while y is the unknown variable of the function. In the present example 10y = 500, The value of b is 2; thus the answer becomes, log10⁡ 500 = x. These worksheets explain how to convert logarithmic expressions into exponential form. Though the formulas have been provided, students should already be familiar with the material.

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Express Logarithmic Form in Exponential Forms Worksheets

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Converting Logarithmic Expressions into Exponential Form Lesson and Practice

Students will practice converting logarithmic expressions into exponential form. A sample problem is solved and two practice problems are provided.

Worksheet

Students will work on the conversion of forms. Ten problems are provided.

Practice

Students will practice this skill through a selection of ten problems that are provided.

Review and Practice

See if this makes a great deal of sense by now.

Quiz

Students demonstrate their proficiency this skill. Ten problems are provided.

Check

We work with a series of conversion of form exercises. Three problems are provided, and space is included for students to copy the correct answer when given.

Express Exponential Forms in Logarithmic Form Lesson and Practice

Express exponential forms in logarithmic form. Here is an example exercise: 112 = 121

Worksheet

Students will express exponential forms in logarithmic form. Ten problems are provided.

Practice

You can always use more practice with this skill.

Review and Practice

This worksheet will not only show you how to use the skills.

Quiz

Students demonstrate their ability with this quiz. Ten problems are provided.

Check

Students will express these values in various forms. Three problems are provided, and space is included for students to copy the correct answer when given.

Logarithmic Equations Lesson and Practice

You will be walked through the different properties that you need to understand for this sheet and the others that follow. A sample problem is solved and two practice problems are provided.

Worksheet

Students will work with equations and convert them to new forms. Ten problems are provided.

Practice

Students will practice solving more of these types of exercises. Ten problems are provided.

Review and Practice

This worksheet reviews all the concepts that we have followed on this topic. A sample problem is solved and six practice problems are provided.

Quiz

Students demonstrate their proficiency solving these types of problems. Ten problems are provided.

Topic Check

You will drive through this activity with all that you have learned so far. Three problems are provided, and space is included for students to copy the correct answer when given.

Logarithmic Expressions Lesson and Practice

Students will use the properties of logs to write expressions in expanded form. A sample problem is solved and two practice problems are provided.

Mixed Worksheet

Students will solve all types of work that we have seen. Ten problems are provided.

Practice

Using the properties of logs, write in expanded form: log ab / c2.

Review and Practice

You will get a chance to cover all the skills that you will enjoy to review.

Quiz

Students demonstrate their proficiency with all of these skills. Ten problems are provided.

Check

Check where your students are at with this skill. Three problems are provided, and space is included for students to copy the correct answer when given.