Daniel is looking over some data regarding the temperatures of countries and how that relates to their number of mosquitos. The data seem to be exponential. How can Daniel determine if the data are exponential, and how can he convert that to a logarithmic function?
@Yttrium

Question

Daniel is looking over some data regarding the temperatures of countries and how that relates to their number of mosquitos. The data seem to be exponential. How can Daniel determine if the data are exponential, and how can he convert that to a logarithmic function?
@Yttrium

anonymous · Answer

"Exponential" seems to be used two different ways:

y = a exp(kx)

y = b x^n

take ln of both sides of both equations to compare them

get ln y = ln a + kx

or ln y = ln b +n ln(x)

See which form fits data best. y is number of mosquitoes and x the temp.