Problem 76 of 7
Find the inverse of the exponential function f(x)=3e^(x-2)+1.
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convert to log form.
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Convert to logarithmic form and state inverse domain.
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Solution
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1. Swap x and y.
2. Isolate the exponential expression.
3. Convert from exponential to logarithmic form.
4. Solve for y and state the inverse domain.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Using natural log without dividing by the log of the base unless base e is involved.