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.

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.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.4: Graphs Of Logarithmic Functions

Problem 1SE: The inverse of every logarithmic function is anexponential function and vice-versa. What doesthis...

See similar textbooks

Similar questions

A scientist begins with 100 milligrams of aradioactive substance that decays exponentially. After 35 hours, 50 mg of the substance remains. How manymilligrams will remain after 54 hours?
When can the one-to-one property oflogarithms beused to solve an equation? When can it not be used?
Explain why the values of an increasing exponentialfunction will eventually overtake the valuesof anincreasing linear function.
The inverse of every logarithmic function is anexponential function and vice-versa. What doesthis tell us about the relationship between thecoordinates of the points on the graphs ofeach?
What happens to an exponential function as the values of x decreases? Will the graph ever cross the y -axis? Explain.
Explain the method you would use to solve these equations: 3x+1=81,3x+1=75. Does your method require logarithms for both equations? Why or why not?
Find an exponential equation that passes throughthe points (0,4) and (2,9).
Hector invests $10,000 at age 21. He hopes the investments will be worth when he turns 50. If the interest compounds continuously, approximately what rate of growth Will he need to achieve his goal?