Evaluate ln(10)

Evaluate logarithms — log, ln, and any base — step by step.

Expression
Answer
2.302585

To evaluate ln(10), find the exponent you must raise e (Euler's number, ≈ 2.71828) to in order to get 10.

Step 1 — Recall the definition

The natural logarithm ln(x) is the logarithm with base e:

ln(10) = n means en = 10

Step 2 — Evaluate

ln(10) does not simplify to a nice closed form. Use the definition or a calculator:

ln(10) ≈ 2.302585

This means e^2.302585 ≈ 10.

ln(10) ≈ 2.302585

How to evaluate ln(10)

Evaluate ln(10) using logarithm properties and rules.

This is a Logarithm — logarithmic evaluation

Frequently asked questions

What is the answer to ln(10)?
The answer is 2.302585.

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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