Slow Is Not the Same as Stopped

You'll learnto walk the anatomy of a logarithmic curve and see that it never levels off.

The log curve flattens as it climbs, and half the class concludes it levels off. It never does. Walk its anatomy: the anchor at (1, 0), the height that reads off an exponent, the vertical wall at x = 0, and the patient climb that passes any ceiling you draw, even if height 100 waits until x = 2¹⁰⁰. Twelve short steps; press Next for each one.

12 STEPS · 6 QUICK CHECKS · y = log₂x · v3

anchored at (1, 0) · walled at x = 0 · no ceiling

Before you start

What you're looking at

The curve y = log₂x on a set of axes, with its landmark points marked as they appear.

The question

The curve keeps flattening — does it ever stop climbing?

Step 1 / 12