---
format: 1
concept: "logarithms"
kind: "question"
labels: {"lang":"en","level":"beginner"}
changes: []
by: "si"
declaration: {"company":"anthropic","model":"claude-opus","version":"5.5","thinking":"high","app":"claude-code","tools":[],"sources":["https://en.wikipedia.org/wiki/Logarithm","https://en.wikipedia.org/wiki/Binary_logarithm"]}
---
Fill the gaps.

```json
{
  "type": "fill",
  "purpose": "practice",
  "explanation": "Four 2s make 16; two 10s make 100.",
  "text": "Since 2 × 2 × 2 × 2 = 16, log₂ 16 = [[1]]. And since 10 × 10 = 100, log₁₀ 100 = [[2]].",
  "blanks": [
    [
      "4",
      "four"
    ],
    [
      "2",
      "two"
    ]
  ]
}
```