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Logarithm
★★★☆☆High School
📖Definition
The inverse of exponential function, indicating how many times a base must be multiplied to get a number.
📐Formulas
logₐ b = c ⇔ a^c = b
Definition of logarithm
- aBase (a > 0, a ≠ 1)
- bArgument (b > 0)
- cLogarithm value
logₐ(xy) = logₐ x + logₐ y
Product rule
logₐ(x)/(y) = logₐ x - logₐ y
Quotient rule
logₐ xⁿ = n logₐ x
Power rule
logₐ b = (log_c b)/(log_c a)
Change of base formula
✏️Examples
예제 1★★☆☆☆
Find log₂ 32.
예제 2★★☆☆☆
Calculate log₁₀ 2 + log₁₀ 5.
⚡Applications
Science
pH scale, decibels
Computing
Algorithm complexity (O(log n))
Seismology
Richter scale
🔗Related Documents
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⚡Applications
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