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Solve for x x .\newline3=ex3=e^x\newlineRound your answer to the nearest thousandth.

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Full solution

Q. Solve for x x .\newline3=ex3=e^x\newlineRound your answer to the nearest thousandth.
  1. Take ln of both sides: Take the natural logarithm (ln) of both sides to isolate xx.\newlineln⁡(3)=ln⁡(ex) \ln(3) = \ln(e^x)
  2. Use logarithm property: Use the property of logarithms ln⁡(ex)=x\ln(e^x) = x.\newlineln⁡(3)=x \ln(3) = x
  3. Calculate ln(33): Calculate ln⁡(3)\ln(3) using a calculator.\newlinex≈1.0986122887 x \approx 1.0986122887
  4. Round to nearest thousandth: Round xx to the nearest thousandth.\newlinex≈1.099 x \approx 1.099

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