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Chapter 12: Problem 32

Express as an equivalent expression that is a single logarithm. $$\log _{b} c-\log _{b} d$$

Short Answer

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Step by step solution

01

Identify the logarithmic rule

To combine the given logarithms into a single logarithm, use the property of logarithms that states: This property will help in combining the two logarithms into one.
02

Apply the logarithmic rule

Use the identified property to combine the given logarithms. The expression is now combined into a single logarithm:
03

Simplify the expression

Ensure that the expression is simplified as much as possible. The expression is already in its simplest form: .

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Logarithm Properties
Logarithm properties are rules that help simplify complex logarithmic expressions. These properties make it easier to solve and combine logarithms. One important property is the

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