Logarithm: Your Questions Answered
These are the questions people ask most often about logarithm. Each answer is short; follow the links for the full detail.
What does a logarithm calculation tell me?
Calculates logarithms in any base.
What is the formula?
log_b(x) = ln(x) ÷ ln(b).
What do I need to enter?
Number, Base.
Can I use any units?
Yes, as long as every input uses the same unit. The answer will be in that unit (squared for areas, cubed for volumes).
Can you show an example?
For example, with these inputs:
- Number: 1,000
- Base: 10
the calculator returns:
- log_b(x): 3
- Natural log ln(x): 6.9078
Any tips?
- Keep units consistent: convert everything to the same unit before calculating.
- Estimate the answer roughly first so you can spot a result that is clearly wrong.
- Use brackets to make the order of operations explicit.
Background
Rounding is a common source of small errors. Keep full precision during intermediate steps and round only the final answer to the number of decimal places or significant figures the question asks for.
A quick mental estimate before calculating is a powerful check. If a room's floor area comes out at 4,000 square metres or a percentage comes out above 100% when it should not, you know to look again.
Calculators are best used to check working rather than replace it, especially for exams where method marks count. Work the problem by hand first, then confirm with the calculator.
Related calculations
- Area of an Ellipse Calculator: Calculates the area of an ellipse from the measurements you enter.
- Area of a Rhombus Calculator: Calculates the area of a rhombus from the measurements you enter.
- Area of a Sector Calculator: Calculates the area of a sector from the measurements you enter.
- Circumference of a Circle Calculator: Calculates the circumference of a circle from the measurements you enter.
Try it yourself with the Logarithm Calculator.
Run your own numbers: Logarithm Calculator