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Common Logarithm

"We can use many bases for a logarithm, but the bases most typically used are the bases of the common logarithm and the natural logarithm. The common logarithm has base 10, and is represented on the c ...

Common Algebra Mistakes

"Some of the most common algebra mistakes come from misunderstanding the order of operations or what is commonly known as PEMDAS. We must keep in mind that the multiplication and division are done at ...

Combinations and Permutations

"When trying to determine the number of possible combinations in a set, it can be difficult to differentiate between combinations and permutations. With permutations, we calculate the number of possib ...

Point-Slope Form of a Line

"Point-slope form of a line is one method to write the equation of a line. Start with the slope equation, which is basically the difference between two points, and then rearrange the terms to obtain ...

Point Slope Form

"Sometimes we're only given a couple of points on a line and then asked to write a linear equation. When given this information, it's easiest to use point slope form. Point slope form can be written u ...

Circle Tic Tac Toe Fun

"We can all use a break from mathematics once in awhile. Circle Tic Tac Toe fun is a game of Tic Tac Toe that differs from the classic. Circle Tic Tac Toe fun is done with four concentric and pie slic ...

Plotting Points

"As we learn how to graph, we will need a thorough knowledge of the fundamentals of graphing: plotting points and identifying coordinates. One of the most important things to know is the terminology o ...

Circle Conic Section

"When working with circle conic sections, we can derive the equation of a circle by using coordinates and the distance formula. The equation of a circle is (x - h) ^2 + (y - k)^2 = r^2 where r is equa ...

Piecewise Functions

"In real world situations it can be difficult to describe events with a single smooth function. We sometimes need to use piecewise functions to describe these situations. Piecewise functions are funct ...

Change of Base Formula

"When we encounter logarithms with bases not of the common or natural logarithm, we often need the change of base formula. The change of base formula allows us to convert a logarithm from one base to ...

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