# Thread: transforming exponentials to y= mx + c

1. ## transforming exponentials to y= mx + c

Hi, not had much exposure to the above example, I need to find the cooling constant 'K' but first need to deal with the above transformation.

Any help would be appreciated, Thanks.

2. Originally Posted by bobbymellor

Hi, not had much exposure to the above example, I need to find the cooling constant 'K' but first need to deal with the above transformation.

Any help would be appreciated, Thanks.
Take the natural log of both sides to get $\displaystyle \ln d= \ln\left(ae^{-kt}\right)\implies \ln d= \ln a-kt$. Thus, if we take $\displaystyle y=\ln d$, $\displaystyle m=-k$ and $\displaystyle c=\ln a$, we have the linear equation $\displaystyle y=mt+c$

Can you continue from here?

3. thankyou for your input. If I wanted to make a graph with the data from the table, I presume this is possible, I don't want you to create a graph for me or anything but could you please give me a example for t = 2 about where i would hit the y axis. thanks