Multi-Mode Logarithmic Transform Indicator.

This indicator provides four distinct methods for analyzing price action through logarithmic transformation .
By moving away from absolute currency values to relative percentage-based values, it allows for a more accurate assessment of assets with high growth or significant volatility.

In a standard linear chart, the distance between $10 and $20 (a 100% increase) looks the same as the distance between $100 and $110 (a 10% increase). 
On a Log scale, the 100% move will appear much larger than the 10% move, reflecting its true relative impact.

How to use this indicator:

Log Scale (Absolute)
Calculation uses the natural logarithm of the current closing price.

Normalizing Exponential Growth.

  •   Ideal for assets like Bitcoin or long-term technology stocks where price has moved from $1 to $1,000+.
  •   It prevents the most recent high prices from visually compressing the older history.
  •   Trends on a log scale represent a constant percentage growth rate rather than a constant dollar increase, making them more reliable over years of data.

Log Scale (Cumulative)
Calculation running sum of all individual log returns.

Performance Tracking.

  • It creates a "Growth Curve" starting from zero. Unlike absolute price, the cumulative scale
  • allows you to compare the ROI of different assets (e.g., Gold vs. S&P 500) starting from the same baseline.

Log Returns (Difference)
The difference between the natural log of the current price and the previous price.

Momentum Measurement tool.

  • Displays the "speed" of price change.
  • A spike in log returns shows a sudden surge in relative momentum regardless of the absolute price level.

**Log Volatility (Deviation)
**The Standard Deviation of the Log Returns over a defined period of bars.

Identifying Market Regimes.

  • It measures "noise" and risk in percentage terms.
  • A volatility of 0.02 means the asset typically moves ~2% per bar.
  • Low log volatility often precedes major breakouts, while extreme spikes in log volatility often signal market exhaustion or panic.