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Logarithmic Expressions, Equations, and Functions
create a new forum thread and address this prompt.
- Explain the following statement: “A logarithm is an exponent.” Provide at least two examples to support your answer.
Sample Answer
A Logarithm is an Exponent: A Closer Look
Understanding the Basics
A logarithm is essentially the inverse operation of exponentiation. To better understand this, let’s break down the concept.
When we say “2 raised to the power of 3 equals 8,” we’re expressing an exponential equation:
2^3 = 8
Now, let’s ask the inverse question: “What power do we raise 2 to in order to get 8?” The answer, of course, is 3. This is where logarithms come into play. We can express this question and answer in logarithmic form:
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