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Simplify ln(1) Answer:

Simplify ln⁡(1) \ln (1) \newlineAnswer:

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

Full solution

Q. Simplify ln⁡(1) \ln (1) \newlineAnswer:
  1. Question Prompt: Question prompt: What is the value of ln⁡(1)\ln(1)?
  2. Recall Definition: Recall the definition of the natural logarithm function. The natural logarithm function ln⁡(x)\ln(x) is the inverse of the exponential function exe^x. Therefore, ln⁡(ex)=x\ln(e^x) = x and eln⁡(x)=xe^{\ln(x)} = x.
  3. Apply Definition: Apply the definition to ln⁡(1)\ln(1).\newlineSince e0=1e^0 = 1, it follows that ln⁡(1)=0\ln(1) = 0 because ln⁡(e0)=ln⁡(1)=0\ln(e^0) = \ln(1) = 0.
  4. Check for Errors: Check for any mathematical errors.\newlineThere are no mathematical errors in the previous steps. The properties of the natural logarithm have been correctly applied.

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