# Exponential to Logarithmic Form Worksheets

How to Convert Between Exponential to Logarithmic Form - A number in an exponential form can also be written in logarithmic form. Learning how to change an exponential equation to its logarithmic form can be a bit difficult at first, but once you learn its basics and get a hold of it through practice, it becomes significantly easy. For example, if we take an equation 6y = 36, we can see that y is the exponent to the base '6', and their answer is equal to 36. If we have to write this exponential equation in logarithmic form, we can simply write it as y = log6 36. Here it can be seen that the base in the exponential form becomes the base of the log, the answer of the exponential form gets attached to log, and the exponent is shifted on the other side of the equation. To convert an exponential equation to its logarithmic form, the most important element to look for is the base in the exponential form, as it becomes the base of the log. The leftover elements are then adjusted accordingly.

• ### Basic Lesson

Guides students through the beginner skills of Exponential to Logarithmic Form. Remember that the logarithm is the exponent: x = by is log b x = y

• ### Intermediate Lesson

Demonstrates how to use advanced skills to tackle Exponential to Logarithmic Form problems.

• ### Independent Practice 1

A really great activity for allowing students to understand the concepts of the Exponential to Logarithmic Form.

• ### Independent Practice 2

Students use Exponential to Logarithmic Form in 20 assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with 12 problems to achieve the concepts of Exponential to Logarithmic Form.

• ### Skill Quiz

This tests the students ability to understand Exponential to Logarithmic Form.

• ### Answer Key

Answers for all lessons and independent practice.

• ### Answer Key

Answers for all that remains.

#### Prove It!

“Facts are meaningless. You could use facts to prove anything that's even remotely true.” (P. Erdos)