Exponents grow fast!

Multiply the base until you reach the target.

Target
=
Equation
× {{ s1.base }}
Current value: 1
Current: {{ s1.current }}
Awesome! {{ s1.base }} multiplied by itself {{ s1.count }} times is {{ s1.target }}.

Rewrite as a Logarithm

A log is just a rearranged exponent. Drag the numbers!

{{ item.val }}
log
{{ s2.zones[0].filled.val }}
Base
(
{{ s2.zones[1].filled.val }}
Result
)
=
{{ s2.zones[2].filled.val }}
Exponent
Perfect! The logarithm asks:
"{{ s2.base }} to what power equals {{ s2.res }}?"
Answer: {{ s2.exp }}.

Find the Exponent

Slide to find the exponent that makes the equation true.

{{ s3.exponent === 0 ? '?' : s3.exponent }}
=
{{ Math.pow(s3.base, s3.exponent) }}
Nailed it! Evaluating a log means finding that missing exponent.

The Mirror Image

Exponential and logarithmic curves are reflections! Drag the purple point.

See? The coordinates swap:
(x, y) on becomes (y, x) on !
🎉

You've Mastered
Logarithms!

You now know that a logarithm is just asking the question: "To what power must I raise the base?"