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Example 10.28: Evaluating and Using Properties of Logarithms
The basic properties of logarithms can be used to evaluate simple logarithmic expressions directly, without converting to exponential form.
ⓐ To evaluate , apply the property , which states that the logarithm of to any valid base equals . Therefore, .
ⓑ To evaluate , apply the property , which states that the logarithm of the base itself always equals . Therefore, .
Recognizing these properties and applying them directly saves time compared to converting to exponential form.
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Example 10.28: Evaluating and Using Properties of Logarithms
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