A logarithm is the exponent to which a base must be raised to obtain a given number.
What Is Logarithm?
A logarithm is the exponent to which a base must be raised to obtain a given number.
Examples of Logarithm
1
log₂(8) = 3 because 2³ = 8.Formula and Key Points
Formula / rule
log_b(x) = y ⇔ bʸ = x
- Know the definition and standard notation for Logarithm.
- Be able to recognise or compute logarithm in a small example.
- Connect the concept to nearby topics in the same subject before using it in larger CSE problems.
Why This Matters in Computer Science
Used in programming formulas, symbolic computation, constraint solving, algorithm derivations and data modelling. Especially important for binary search, balanced trees, divide-and-conquer algorithms and information measures.
Related Math Terms
Logarithm: Frequently Asked Questions
What is Logarithm?
A logarithm is the exponent to which a base must be raised to obtain a given number.
Why is Logarithm useful in computer science?
Used in programming formulas, symbolic computation, constraint solving, algorithm derivations and data modelling. Especially important for binary search, balanced trees, divide-and-conquer algorithms and information measures.