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. (please show work)

Step-by-step explanation:

Given

--- The temperature

Required

Solve for x (convert to logarithmic function)

We have:

Substitute:

To convert to logarithmic function, simply take the log of both sides.

i.e.

Rewrite as:

Make x the subject

Express 64 as 2^6

Rewrite as:

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step-by-step explanation:

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.