Natural Logarithm
Category: Math · Updated November 2026
The TAAPI.IO Natural Logarithm API returns real-time and historical values for the Natural Logarithm math function as JSON, for crypto pairs and US stocks. Send an exchange, symbol and timeframe to get real-time or historical data, with no candles to download and no calculations to maintain.
| Spec | Value |
|---|---|
| Endpoint | GET https://v2.taapi.io/indicator/ln |
| Outputs | value |
| Markets | Binance, Binance Futures, Bybit, Gate.io, Kraken and US stocks |
| Timeframes | 1m to 1w |
| Delivery | REST, bulk and WebSocket |
Get Natural Logarithm with one API call
This request returns Natural Logarithm for BTCUSDT on 1-hour Binance candles. Add your API key to run it here.
curl -G https://v2.taapi.io/indicator/ln \ -H "Authorization: Bearer YOUR_API_KEY" \ --data-urlencode "exchange=binance" \ --data-urlencode "symbol=BTCUSDT" \ --data-urlencode "timeframe=1h"
import requests
resp = requests.get(
'https://v2.taapi.io/indicator/ln',
headers={'Authorization': 'Bearer YOUR_API_KEY'},
params={'exchange': 'binance', 'symbol': 'BTCUSDT', 'timeframe': '1h'},
)
print(resp.json())const params = new URLSearchParams({"exchange": "binance", "symbol": "BTCUSDT", "timeframe": "1h"});
const res = await fetch(`https://v2.taapi.io/indicator/ln?${params}`, {
headers: { Authorization: 'Bearer YOUR_API_KEY' },
});
console.log(await res.json());Natural Logarithm API response
This response came from the live API on 9 November 2026. Long lists are shortened here.
{
"value": [11.213258931558018],
"timestamp": [1794218400]
}| Field | Type | Description |
|---|---|---|
value | number[] | Natural Logarithm result |
timestamp | integer[] | Unix time of each candle, in seconds |
Natural Logarithm API parameters
| Name | Type | Required | Default | Description |
|---|---|---|---|---|
exchange | string | Yes | — | binance, binancefutures, bybit, gateio, kraken or stocks |
symbol | string | Yes | — | Pair or ticker, e.g. BTCUSDT or AAPL |
timeframe | string | Yes | — | 1m 5m 15m 1h 4h 1d 1w |
results | integer | No | 1 | Number of values to return, or max |
backtrack | integer | No | 0 | Candles to skip from the most recent |
What is Natural Logarithm?
Natural Logarithm is a math function that takes the natural logarithm, which is the basis of log returns. On TAAPI.IO it runs on the candles you request, so you can get the result without doing the calculation on your side.
Natural Logarithm formula
| Output | Calculation |
|---|---|
| Output | ln(x) |
How to read Natural Logarithm in your code
| Signal | Meaning | Condition |
|---|---|---|
| Result | Function output for the candle | value |
Limitations: Differences of consecutive results give log returns, but a single value has little meaning. Nothing on this page is financial advice.
Compare the last two closed Natural Logarithm values
Use backtrack=1 to skip the candle still forming, and results=2 to compare the last two closed candles. Arrays run oldest first.
curl -G https://v2.taapi.io/indicator/ln \ -H "Authorization: Bearer YOUR_API_KEY" \ --data-urlencode "exchange=binance" \ --data-urlencode "symbol=BTCUSDT" \ --data-urlencode "timeframe=1h" \ --data-urlencode "results=2" \ --data-urlencode "backtrack=1"
import requests
resp = requests.get(
'https://v2.taapi.io/indicator/ln',
headers={'Authorization': 'Bearer YOUR_API_KEY'},
params={'exchange': 'binance', 'symbol': 'BTCUSDT', 'timeframe': '1h', 'results': 2, 'backtrack': 1},
)
data = resp.json()
prev, last = data['value']
print('value', prev, '->', last)
print('rising' if last > prev else 'falling or flat')Get historical Natural Logarithm values
Add results to return a series for backtesting or charting. The last element is the most recent candle.
curl -G https://v2.taapi.io/indicator/ln \ -H "Authorization: Bearer YOUR_API_KEY" \ --data-urlencode "exchange=binance" \ --data-urlencode "symbol=BTCUSDT" \ --data-urlencode "timeframe=1h" \ --data-urlencode "results=100"
Get Natural Logarithm for multiple symbols
Combine Natural Logarithm with other indicators in one request. Each exchange, symbol and timeframe combination is one construct: Basic allows 1 per request, Pro 3 and Expert 10.
curl -X POST https://v2.taapi.io/bulk \
-H "Authorization: Bearer YOUR_API_KEY" \
-H "Content-Type: application/json" \
-d '{
"constructs": [
{
"id": "btc_1h",
"exchange": "binance",
"symbol": "BTCUSDT",
"timeframe": "1h",
"indicators": [
{
"id": "ln",
"indicator": "ln"
},
{
"id": "rsi",
"indicator": "rsi"
}
]
}
]
}'Stream Natural Logarithm in real time
Subscribe over WebSocket to receive new values every 5 seconds while the candle is forming. Streaming supports 1m, 5m, 15m and 1h, and uses interval where REST uses timeframe.
{
"type": "subscribe",
"id": "ln",
"exchange": "binance",
"symbol": "BTCUSDT",
"interval": "1m",
"indicator": "ln"
}Natural Logarithm API FAQ
What does the Natural Logarithm API return?
It returns value, plus a timestamp for the request. Results are JSON.
Is the latest Natural Logarithm value final?
No. The newest value belongs to the candle still forming and can change until it closes. Add backtrack=1 to read the last closed candle.
Can I get Natural Logarithm for US stocks?
Yes. Use exchange=stocks with a ticker such as AAPL. US stocks are included on the Pro plan and above.
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