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Solving a Logarithmic Equation with Multiple Logs

"When given a problem on solving a logarithmic equation with multiple logs, students should understand how to condense logarithms. By condensing the logarithms, we can create an equation with only one ...

Exponential Equations with Different Bases

"Sometimes we are given exponential equations with different bases on the terms. In order to solve these equations we must know logarithms and how to use them with exponentiation. We can access variab ...

Expanding Logarithms

"Sometimes we use methods for expanding logarithms in complicated logarithmic terms. Expanding logarithms can be useful for obtaining more simplified terms. When expanding logarithms we use the rules ...

Evaluating Logarithms

"In order to do problems on evaluating logarithms in terms of known quantities, we need to understand the rules of logarithms such as the product, the quotient and the power rules. When we say evaluat ...

Simple Logarithmic Equations

"In order to understand solving logarithmic equations, students must understand the basics of logarithms, and how to use exponentiation to access the terms inside the logarithm. Some more complicated ...

Quotient Rule of Logarithms

"When evaluating logarithms the logarithmic rules, such as the quotient rule of logarithms, can be useful for rewriting logarithmic terms. The quotient rule of logarithms allows us to separate parts o ...

Properties of Logarithms

"In order to solve equations with logarithms and exponential functions, we must understand two properties of logarithms. These properties of logarithms are the methods we use to get to and solve for v ...

Continuous Compound Interest

"Problems that involve continuous compound interest use a different equation from problems that have finitely compounded interest, but the continuous compound interest equation is also an exponential ...

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 ...

Logarithmic Functions

"In order to solve equations that contain exponentials, we need logarithmic functions. Logarithmic functions are the inverses of exponential functions. The properties of logarithms are used frequently ...

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