CoreProExp & Log Functions
Logarithm
f(x) = logₐ(x)
Overview
The logarithm is the inverse of the exponential. It answers: "to what power must we raise a to get x?"
Domain
(0, +∞)
Range
(-∞, +∞)
Symmetry
Neither
Key Properties
1
Inverse of aˣ
2
Vertical asymptote: x = 0
3
Passes through (1, 0)
4
logₐ(xy) = logₐ(x) + logₐ(y)
Key Insight
log rules: log(ab) = log(a)+log(b), log(aⁿ) = n·log(a). These make multiplication into addition!
Visualize Logarithm
Interact with the graph, adjust parameters, and see how the function behaves in real time.