Never let facts get in the way of a good title.
Also, half an order of magnitude isn't 5, it's square root of 10.![]()
Why? I would say that because magnitude is exponential thing than you should use logarithm !
Never let facts get in the way of a good title.
Also, half an order of magnitude isn't 5, it's square root of 10.![]()
Why? I would say that because magnitude is exponential thing than you should use logarithm !
That's exactly what I'm doing, but I'm using the base 10 log though since it's what's most commonly used when people talk about magnitudes. In that case, increasing something by x orders of magnitude means multiplying it by 10^, since x->log10(x) and x->10^x are inverse functions.
The natural log is just a base e log, but the idea is the same.