 # Solve Logarithmic Equations

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Videos, worksheets, solutions, and activities to help PreCalculus students learn how to solve logarithmic equations.

Evaluating Logarithmic Functions Using a Calculator
This video explains how to evaluate a common logarithm on the calculator. It also shows how to write an exponential equation using the value of the common logarithm.
This video explains how to evaluate a natural logarithm on the calculator. It also shows how to write an exponential equation using the value of the natural logarithm.

Evaluating Logarithmic Functions Using a Calculator
This video explains how to evaluate common logarithms without a calculator and write the result as an exponential equation.
This video explains how to evaluate a logarithm without a calculator.

Evaluating a Logarithmic Expression in terms of Known Quantities :
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 evaluating logarithms in terms of known quantities, we mean that we want to be able to rewrite a complex logarithm so that we can recognize certain simpler logarithmic terms within it.
How to break up a logarithm of a large number.
Evaluating and solving logs.
Solving logarithm equations. Solving for x in Logarithmic Equations

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 log, and can use methods of exponentiation for solving a logarithmic equation with multiple logs. This requires knowledge of the product, quotient and power rules of logarithms.
Tutorial on solving logarithmic equations by using log properties to condense multiple log expressions and then converting to exponential form.

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