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Simplify ln(e) Answer:

Simplify ln⁡(e) \ln (e) \newlineAnswer:

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Add, subtract, multiply, and divide complex numbersright chevron icon

Full solution

Q. Simplify ln⁡(e) \ln (e) \newlineAnswer:
  1. Definition of ln⁡(e)\ln(e): The natural logarithm function ln⁡(x)\ln(x) is the inverse of the exponential function exe^x. Therefore, when we apply the natural logarithm to the base of the natural logarithm, which is ee, we should get the power to which ee must be raised to get ee itself.\newlineln⁡(e)=x\ln(e) = x such that ex=ee^x = e.
  2. Calculation of ln⁡(e)\ln(e): Since e1=ee^1 = e, it follows that ln⁡(e)\ln(e) must equal 11, because ee is raised to the power of 11 to get ee.\newlineln⁡(e)=1\ln(e) = 1.

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