Skip to main content

Common and Natural Logarithms

This video presents the same text shown beside it, spoken and on screen. It adds nothing the text does not say.

State

A common logarithm is base 10, written log(x) with no base shown; a natural logarithm is base e, written ln(x).

Show

log(1000) = 3, since 10³ = 1000; ln(e) = 1, since e¹ = e. Two named bases, two shorthands.

Watch for

A baseless log in this course means base 10, per the anchor.

Builds on

  • Nothing — this is a starting point.

Unlocks

  • Nothing yet depends on this.