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White the equation in its equivalent exponential form. Then solve for .

in its equivalent exponential form is . (Do not simplify.)

Ask by Powell Sanders. in the United States
Mar 23,2025

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Tutor-Verified Answer

Answer

The equivalent exponential form is .

Solution

  1. Start with the logarithmic equation:
  2. Recall that the logarithmic equation is equivalent to the exponential equation .
    Therefore, the equivalent exponential form is:
  3. Solving for gives:

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The Deep Dive

The equation in its equivalent exponential form is .
To solve for , we calculate , which is . Therefore, .

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