Interactive resource
Interactive Graph of y = log_a x
Functions. Change the base to see increasing vs decreasing logs, and compare with the inverse exponential. Free interactive GeoGebra resource — adjust…
Overview
A logarithm is the inverse of an exponential. Vary base a and watch growth or decay against the dashed exponential.
Explanation
y = log_a x (a>0, a≠1) is the inverse of y=a^x; graphs are symmetric about y=x.
Increasing when a>1; decreasing when 0
How to use
- Open the log-function scene.
- Adjust base a.
- Note the fixed point (1, 0).
- Compare with the dashed exponential.
Compare bases
Set a = 2 and a = 1/2 to show increasing vs decreasing behavior.
Knowledge points
FAQ
Why is the domain x > 0?
Exponentials only output positives, so their inverses only accept positives.
Is this tool free?
Yes. It runs in the browser with no install.
Good for class demos?
Yes — project it and ask what changes when you drag a parameter.
How do I write the formula afterward?
Open the equation editor or symbol sheet and copy a clean expression.