Skip to main content
Interactive math tool

Interactive Graph of y = log_a x

Change the base to see increasing vs decreasing logs, and compare with the inverse exponential.

A logarithm is the inverse of an exponential. Vary base a and watch growth or decay against the dashed exponential.

How it works

  1. Open the log-function scene.
  2. Adjust base a.
  3. Note the fixed point (1, 0).
  4. Compare with the dashed exponential.

Compare bases

Set a = 2 and a = 1/2 to show increasing vs decreasing behavior.

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.

Open log grapher