Is the logarithmic scale of the Tradingview really logarithmic?

I've been looking for the correct equation for a straight line on Semi-logarithmic scale for some time. The base equation is as follows:

log y = mx + log k
m = slope of line = (log y1 - log y0) / (x1 - x0)
k = y-intercept: value of y where line crosses the x = 0 axis

While this equation is absolutely correct, the result of plotting it on logarithmic scale was a curve.

Then I realized that apparently in the price < 0.001 range, the logarithmic chart of Tradingview is not working logarithmically!

I am so confused.

Does anyone know the cause?
What is the equation corresponding to the chart scale?

Please help if you can.