Urgent
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.

Step-by-step explanation:

F(x) = 2^x

64 = 2^x

2^6 = 2^x

x = 6

f(x) = 2^x

log (f(x)) = x log 2

x = log (f(x)) / log 2 = log_2 (f(x))

Therefore, the required logarithmic function is x = log_2 (f(x))

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6 mosquitoes

Step-by-step explanation:

64 = 2^x

Use log base 2 both sides

log2(64) = log2(2^x)

log2(2^6) = xlog2(2)

6log2(2) = x

x = 6

step-by-step explanation: