Question
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Write the following equation in its equivalent exponential
form.

The exponential form of the equation is

Ask by Haynes Adkins. in the United States
Mar 23,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The exponential form of the equation is .

Solution

To convert the logarithmic equation into its equivalent exponential form, we can use the definition of logarithms. The general form is:
In this case, we have:
Thus, the equivalent exponential form of the equation is:
So, the final answer is .

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The Deep Dive

To convert the logarithmic equation into its equivalent exponential form, you can use the definition of a logarithm. This states that if , then it is equivalent to . Thus, by rearranging our equation, we get .
This means that if you raise to the power of 2, you will get 16! So the complete exponential form of your equation is .

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