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.

The required logarithmic function is

and x=6

Step-by-step explanation:

Given : 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 , where x is the number of mosquitoes.

To find : How he can convert this equation to a logarithmic function when the temperature is 64 degrees?

Solution :

We have given the exponential function,

Converting into logarithmic function,

Taking log both side

by logarithmic property

Now, we have given f(x)=64

We can verify it by,

On caparison the base,

Therefore, The required logarithmic function is

b. x + 1

step-by-step explanation:

i'am smart

0.02

step-by-step explanation:

time of 9 192 631 770 periods of the radiation corresponding to the transition between the 2 hyperfine levels of the ground state of the caesium 133 atom at 0 k (but other seconds are sometimes used in astronomy)