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Write the exponential equation in logarithmic form.


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Ask by Mills Sullivan. in the United States
Mar 24,2025

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Answer

The logarithmic form of the equation is .

Solution

To convert the exponential equation into logarithmic form, we can use the relationship between exponential and logarithmic forms. The general form is:
In this case, we have:
Thus, the logarithmic form is:

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The Deep Dive

To transform the exponential equation into logarithmic form, we can express it as: . This means that the natural logarithm of 5 is approximately 1.609, connecting the two forms beautifully!
Logarithmic form is not just a mathematical transformation; it also helps simplify complex equations, making them easier to solve. Remember, logarithms can help you decipher growth rates in real-world scenarios like population, finance, and even the spread of infectious diseases!

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