[math]\frac{d}{dx}ln\left(x\right)=\frac{1}{x}[/math] and [math]\frac{d}{dx}ln\left(nx\right)=\frac{1}{x}[/math] also! Does it seem a bit odd that the derivatives of these different log functions are the same? The graphs show that the gradient of the tangent to [math]ln\left(nx\right)[/math] is equal to the gradient of the tangent to [math]ln\left(x\right)[/math] for any value of [i]x[/i] in the domain of the two functions.[br]Adjust slider [i]a[/i] to choose different points on the curves.[br]Adjust slider [i]n[/i] to show different functions of [math]ln\left(nx\right)[/math].[br][br][br]