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.

Answer 1

64 = 2^x
log 64 = log 2^x = x log 2

Required logarithm function is log 64 = x log 2