Evaluate log(1000)
Evaluate logarithms — log, ln, and any base — step by step.
Expression
Answer
3
To evaluate log(1000), find the exponent you must raise 10 to in order to get 1000. When no base is written, log means base 10 (the common logarithm).
Step 1 — Write the definition
log(x) without a specified base means the common logarithm (base 10):
log(1000) = log10(1000) = n means 10n = 1000
Step 2 — Recognize as a power of 10
Build up powers of 10:
101 = 10
102 = 100
103 = 1000
Since 10^3 = 1000, log(1000) = 3.
Step 3 — Verify
103 = 1000 ✓
log(1000) = 3
How to evaluate log(1000)
Evaluate log(1000) using logarithm properties and rules.
This is a Logarithm — logarithmic evaluation
Frequently asked questions
What is the answer to log(1000)?
The answer is 3.
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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