Math

Logarithm Calculator

Find the logarithm of a number in any base.

Calculated Output

Logarithm 3

Natural log (ln) 6.908

Formula: log_b(x) = ln(x) ÷ ln(b)

Step-by-Step Breakdown

1. Values used:

2. Number = 1,000

3. Base = 10

5. Logarithm = 3

6. Natural log (ln) = 6.908

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The math behind it

log_b(x) = ln(x) ÷ ln(b) (change of base). It's the inverse of exponentiation.

log₁₀(1000) = 3.

What is ln?

The natural log, base e (≈2.718).