Solve Logarithmic Equations by Exponentiating

The video tutorial covers solving logarithmic equations by exponentiating both sides. It begins with a review of basic logarithm rules and demonstrates three examples: a simple logarithmic equation, a quadratic equation within a logarithm, and a more complex equation involving multiple operations. The tutorial emphasizes the importance of isolating the logarithm and using the correct base for exponentiation. It concludes with a summary and additional resources for further learning.

What is the first step in solving a logarithmic equation with a single logarithm?

• Add a constant to both sides

• Exponentiate both sides

• Multiply both sides by the base

• Divide both sides by the argument

In the example with a quadratic argument, what is the base used for exponentiation?

• Base 3

• Base 4

• Base 5

• Base 2

When solving a quadratic equation resulting from a logarithmic equation, what method can be used?

• Substitution

• Factoring or using the quadratic formula

• Completing the square

• Graphing

What must be done before exponentiating a logarithmic equation with additional terms outside the logarithm?

• Divide the terms by the argument

• Isolate the logarithm

• Add the terms to both sides

• Multiply the terms by the base

In the final example, what is the base used for exponentiation?

• Base 4

• Base 5

• Base 2

• Base 3