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Solve for x x .\newline4=ex4 = e^x\newlineRound your answer to the nearest thousandth.

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Q. Solve for x x .\newline4=ex4 = e^x\newlineRound your answer to the nearest thousandth.
  1. Take natural log: Take the natural log of both sides.\newlineln⁡(4)=ln⁡(ex) \ln(4) = \ln(e^x)
  2. Use power rule: Use the power rule of logarithms.\newlineln⁡(4)=x⋅ln⁡(e) \ln(4) = x \cdot \ln(e)
  3. Simplify equation: Since ln⁡(e)=1\ln(e) = 1, simplify the equation.\newlineln⁡(4)=x \ln(4) = x
  4. Calculate and round: Calculate ln⁡(4)\ln(4) and round to the nearest thousandth.\newlinex≈1.386 x \approx 1.386

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