Enter the correct answer in the box.Rewrite this exponential equation as a logarithmic equation.4e𝑥=16
Question
Enter the correct answer in the box.
Rewrite this exponential equation as a logarithmic equation.
Solution
Sure, let's rewrite the given exponential equation as a logarithmic equation step by step.
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Isolate the exponential term: Divide both sides of the equation by 4 to isolate . Simplify the right side:
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Rewrite in logarithmic form: Recall that the natural logarithm (ln) is the inverse of the exponential function with base . The equation can be rewritten using the natural logarithm as:
So, the logarithmic form of the given exponential equation is:
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