Evaluate ln(e)
Evaluate logarithms — log, ln, and any base — step by step.
Expression
Answer
1
To evaluate ln(e), find the exponent you must raise e (Euler's number, ≈ 2.71828) to in order to get e.
Step 1 — Recall the definition
The natural logarithm ln(x) is the logarithm with base e:
ln(e) = n means en = e
Step 2 — Apply the identity property
The natural logarithm of e is 1 by definition:
e1 = e
Therefore ln(e) = 1.
ln(e) = 1
How to evaluate ln(e)
Evaluate ln(e) using logarithm properties and rules.
This is a Logarithm — logarithmic evaluation
Frequently asked questions
What is the answer to ln(e)?
The answer is 1.
What method is used?
log(x) is the common logarithm (base 10). ln(x) is the natural logarithm (base e). log base b of x asks: what power of b gives x?
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