Question
Write the exponential equation in logarithmic form.
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Submit
Ask by Mills Sullivan. in the United States
Mar 24,2025
Upstudy AI Solution
Tutor-Verified Answer
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!