The following worksheets will give your students a review in how to solve logarithmic expressions.

#### What Are Logarithmic Functions? Much before calculus, mathematicians used logarithmic functions to help them with complicated math problems. Like calculus, this form of math helped mathematicians in converting multiplication problems into addition and subtraction problems. Even today, scientists and mathematicians must encounter problems with large powers and complicated multiplications. This is where they are helpful. In mathematics, a logarithmic function is defined as the inverse of the exponential function. Any exponential function can be easily expressed in this format. Similarly, they can be expressed as an exponential form. They allow us to work with large numbers, especially those with large powers. They can be expressed as: For x > 0, a > 0, and a ≠1, y = log a x if and only if x = a y. Then the function is shown as f(x)= log a x. 'a' is the base. This is usually read as the log of base a of x. This form of expression commonly has two types of bases, which are base e and base 10. There is a form that has base 10 is known as the common logarithmic function. It is denoted by log 10 or is simply known as log f(x)= log 10 x. Those that follow this form that have a base 'e' is termed as a natural logarithmic function. It is denoted by log e, f(x)= log e x.

When we are working with very large numbers logarithms come in very handy. They kind of make it like shorthand for extremely large or small values. You will also see the word logarithm listed as log, they are one and the same. In this section we will evaluate logarithm functions and work on converting their values and determining domains of these functions. These worksheets explain how to solve for various log based expressions. They will evaluate and create their own functions.

# Logarithmic Functions Worksheets

## Logarithmic Functions Lesson and Practice

Students will learn how to go about solving for various logarithmic expressions. For example: The statement y = log16x is equals to?

## Worksheet

Students will solve for various logarithmic functions. This series of problems starts to move in a slightly different direction. Example: Consider the graph of y= ln8x with the limited domain (1, 12).What is the maximum value of the function on this interval?

## Practice

Students will solve problems for various logarithmic forms from finding the range, inverse functions, domains, and writing equal statements. Ten problems are provided.

## Review and Practice

This worksheet reviews all the various skills we have seen so far with logarithmic functions. A sample problem is solved and six practice problems are provided.

## Quiz

Students demonstrate their ability to solve a wide variety of logarithmic expressions and restate them in different formats. Ten problems are provided.

## Check

Students will determine equivalent logarithmic expressions, find ranges within them, and find where intersections occur on graphs. Three problems are provided, and space is included for students to copy the correct answer when given.