Re: Understanding concepts

Hey Mathshelp246.

Taking logs of both sides shows how something change exponentially.

If something is exponentially increasing then a log plot will show a straight line with a positive gradient. If it is exponentially decreasing, then it will be a straight line with a negative gradient.

If something is sub-exponential then the line will be very flat and usually have some kind of asymptote (like a horizontal one).

Re: Understanding concepts

Ohh I think I might be getting what you mean!?

why you take log x vs log y - it is a straight line (linear) it is showing how both x and y change exponentially- both are the same (a log of each x and y was taken)

Where as when it is x vs Log y - is at every x value, there is a exponential change in y (i.e. log y)- eventually y will level off, therefore the curve will have an asymptote line for the varible temp (y)

Is this what you mean?

** also if its not too much trouble is: log y the "difference of temperature from ambient room temperature"?**

Thank you so much

means alot ...^_^...

Re: Understanding concepts

Basically what I mean is that the slope of the line tells you how its changing on a log scale.

If its a positive slope its changing exponentially in a linear fashion. If its close to flat though it means its changing in a polynomial manner (or sub exponential way).