Numbers and algebra
Logarithm
The exponent to which a positive base must be raised to produce a positive value.
Common notationlog_b(x) = y ⇔ bʸ = x
In one sentence
What does Logarithm mean?
The exponent to which a positive base must be raised to produce a positive value.
How it is written
log_b(x) = y ⇔ bʸ = x
A compact example
log₂(32)=5 because 2⁵=32.
Other names and search terms
log, inverse exponent.
Where this fits
When should you learn Logarithm?
The first encounter is not the final level. Many ideas begin visually, become computational in high school and become formal in college.
- 1Pre-high schoolUsually introduced
- 2High schoolGreater depth
- 3CollegeGreater depth
- 4AdvancedGreater depth
- Arithmetic
- Algebra
- Basic arithmetic
- Equations
- Functions
- Precalculus
Algebra is part of the calculation language used throughout the path.
Open the Zero-to-QM pathClear answers
Questions about Logarithm
What does Logarithm mean in mathematics?
The exponent to which a positive base must be raised to produce a positive value.
How is Logarithm written?
A common notation is log_b(x) = y ⇔ bʸ = x.
What is an example of Logarithm?
log₂(32)=5 because 2⁵=32.