antilog base ten of three
- Logarithm
- 3
- Base
- 10
Antilogarithm1,000
arithmetic identity
Open this exampleMath & Statisticsalgebra
Antilog Calculator
The inverse of a logarithm: given the log, recover the number. Useful for reading log-scale data such as pH, decibels or seismic magnitudes back into ordinary units.
Also called: inverse log, antilogarithm.
Antilogarithm
1,000
10 raised to 3 is 1,000. Taking the log base 10 of that returns 3, which is what makes them inverses.
If the log had been natural
20.09
If the log had been base ten
1,000
In scientific notation
1 x 10^3
Method and background
How this is calculated
An antilogarithm is just exponentiation, named from the days when logs came out of a table and you needed a second table to go back. It matters wherever a scale is logarithmic: a pH of 4 is ten times more acidic than a pH of 5, and a magnitude 7 earthquake releases about thirty-two times the energy of a magnitude 6.
antilog = base ^ logarithm- y
- The logarithm
- b
- The base
Worked examples
Each of these is asserted on every build. If a change to the engine ever moved one of these answers, the build would fail before the page could print it.
a log of zero returns one
- Logarithm
- 0
- Base
- 10
Antilogarithm1
boundary: any base to the power zero
Open this exampleMethod and limits
What it assumes
- A positive base other than one.
What it deliberately does not model
- Results beyond what a double can hold are reported as not finite.
Formula version 1.0.0 · definition 1.0.0 · India · Report a problem with this calculator
Frequently asked questions
- What is an antilog used for?
- Reading a logarithmic scale back into ordinary units. Sound levels, acidity and earthquake magnitude are all recorded as logs precisely because the raw range is too wide to work with.