Evaluate ln(5)
Evaluate logarithms — log, ln, and any base — step by step.
Expression
Answer
1.609438
To evaluate ln(5), find the exponent you must raise e (Euler's number, ≈ 2.71828) to in order to get 5.
Step 1 — Recall the definition
The natural logarithm ln(x) is the logarithm with base e:
ln(5) = n means en = 5
Step 2 — Evaluate
ln(5) does not simplify to a nice closed form. Use the definition or a calculator:
ln(5) ≈ 1.609438
This means e^1.609438 ≈ 5.
ln(5) ≈ 1.609438
How to evaluate ln(5)
Evaluate ln(5) using logarithm properties and rules.
This is a Logarithm — logarithmic evaluation
Frequently asked questions
What is the answer to ln(5)?
The answer is 1.609438.
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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