Question

Daniel is looking over some data regarding the temperatures of countries and how the temperature relates to the number of mosquitoes. The data are represented by the exponential function f(x) = 2x, where x is the number of mosquitoes. Explain how he can convert this equation to a logarithmic function when the temperature is 64 degrees.

Can someone help me and explain this to me?

Answer 1

f(x) = 2^x
ln f(x) = ln 2^x
ln f(x) = x ln 2

Answer 2

ln 64 = x ln 2

Answer 3

so I plugged 64 in for F(x)? do I divide both sides after that?

Answer 4

yes divide both sides by ln2 to get x

Answer 5

okay, thank you :)

Answer 6

yw