Simple Question: Is there a way to do any other base besides math.log and math.log10?

```
local function logBase(num, base)
return math.log(num) / math.log(base)
end
logBase(16, 2) --4
```

Otherwise known as the change of base formula.

Is there a way to actually use that in context?

I’m trying to create a script that makes a car turn slower the faster it’s going, and this is the formula I’ve been using:

(-math.log(script.Parent.Velocity.Magnitude+500) + 7.2)

Maybe I’m just overthinking it and there’s simpler way to do it.

I would use an exponential formula. Raising a number that’s between 1 and infinite to a negative power causes it to slope downwards.

The basic formula is: `turnRate = baseTurn * someNumber^(-velocity)`

```
local baseTurnRate = 100
local multiplierBase = 1.5 -- The number you're going to raise
function getTurnSpeed(carSpeed)
local adjustedTurnRate = baseTurnRate * multiplierBase^(-carSpeed) -- presumably carSpeed is positive
return adjustedTurnRate
end
getTurnSpeed(script.Parent.Velocity.Magnitude)
```

You can play around with the numbers in game, or graph it at a site like desmos.com . Decreasing multiplierBase towards 1 causes the turn rate to change more gradually, while giving a higher number creates a sharper curve.

You can use the change of base formula to do a base other than 10.

This is the code I use:

`math.log10(a) / math.log10(b)`

You can see it in action with the open-source code of this tweet I made:

I know this is old but i can see all the answers here aren’t good solutions the best way to get the log of any number with any base is

`math.log(10, 5)`

the 10 is the number and the 5 is the base it is as simple as this i don’t know why the others has come up with so log and complicated answers when you can just do this