Use Laws of Logarithms to Simplify a Logarithmic Function

Running out of logarithm questions in class? The nicely organized two-page worksheet provides practice in rational, logarithmic, and exponential functions. All the topics include graphing, solving, and finding domain and range. 

Two students were sitting on a log and decided they wanted to be awesome at math. Bring in the logarithm handout! The first page introduces the idea of a logarithm and the different operations and rules it entails. The second page...

In this function and logarithms worksheet, students find the domain and range of functions, use the properties of logs to solve equations. This one-page worksheet contains nine multi-step problems.

This video proves the helpful change of base formula for logarithms. The proof steps may need to be more intuitive to most logarithm learners, but the algebraic manipulation shown using logs is interesting.

Challenge your students to explain why this interesting mathematical law works! Sal, accompanied by Vi Hart, demonstrates BenfordÕs Law. They challenge the listeners to see if they can give an intuitive reason why this law fairly...

Challenge your students to explain why this interesting mathematical law works! Sal, accompanied by Vi Hart, demonstrates BenfordÕs Law. They challenge the listeners to see if they can intuitively explain why this law fairly accurately...

It is only natural to take the derivative of a logarithmic function with a complex argument. The 21st installment in a series of 31 provides an example of taking the derivative of a natural logarithmic function. First simplifying the...

Starting with a quadratic equation in standard form, the instructor shows you how to rewrite the equation to vertex form. She shows step-by-step how to complete the square.

Pupils follow a chain of reasoning in deconstructing a logarithmic equation step by step. Using their knowledge of logarithms, learners compare the solutions of logarithmic equations when the bases are changed.

Roll a log into an equivalent expression. Given four expanded logarithmic expressions, pupils write an equivalent condensed expression. They identify which properties allows for the simplification.