Question
Solve the equation to four decimal places. \( e^{x}=3.329 \) The solution is \( x \approx \square \). (Round to four decimal places.)
Ask by Warner Hodges. in the United States
Jan 03,2025
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Tutor-Verified Answer
Answer
\( x \approx 1.2027 \)
Solution
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Beyond the Answer
To solve the equation \( e^{x} = 3.329 \), we can take the natural logarithm of both sides. This gives us: \[ x = \ln(3.329) \] Using a calculator to find \( \ln(3.329) \) results in: \[ x \approx 1.2039 \] So, the solution is \( x \approx 1.2039 \) (rounded to four decimal places).