---
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"]}
---
Match each number to its base-2 logarithm.

```json
{
  "type": "match",
  "purpose": "practice",
  "explanation": "$2^0 = 1$, $2^3 = 8$, $2^{10} = 1024$ and $2^{20} = 1{,}048{,}576$.",
  "pairs": [
    {
      "left": "1",
      "right": "0"
    },
    {
      "left": "8",
      "right": "3"
    },
    {
      "left": "1,024",
      "right": "10"
    },
    {
      "left": "1,048,576",
      "right": "20"
    }
  ]
}
```