Question

Is the logarithmic function applicable when modeling business applications? Why or why not?

254

likes
1268 views

Answer to a math question Is the logarithmic function applicable when modeling business applications? Why or why not?

Expert avatar
Esmeralda
4.7
102 Answers
1. \text{Logarithmic functions are used in business to model diminishing returns or growth rates that slow over time.}
a. \text{For example, in marketing, the initial impact of a new campaign might be substantial, but the effect often diminishes as the market becomes saturated.}
2. \text{They are also used to model learning curves, where the rate of learning decreases as cumulative experience increases.}
3. \text{Logarithmic scales can be useful in financial modeling, particularly in the context of investment returns and understanding compounded growth over time.}
4. \text{Ultimately, the applicability hinges on the need to represent phenomena that exhibit quickly increasing or decreasing rates that taper off over time.}

\text{Answer: Yes, the logarithmic function is used to model scenarios such as diminishing returns, learning curves, and certain financial models.}

Frequently asked questions (FAQs)
What is the equation of a parabola with a vertex at (2,1) and a directrix at x = -3?
+
What is the value of side c in a triangle if angle A is 35°, angle B is 55°, and side a is 7 cm?
+
What is the value of x if 3(x + 4) = 15?
+
New questions in Mathematics
a runner wants to build endurance by running 9 mph for 20 min. How far will the runner travel in that time period?
A circle with a 12-inch diameter is folded in half and then folded in half again. What is the area of the resulting shape?
Calculate the 6th term of PA whose 1st term is 6.5 and the ratio 5
What will be the density of a fluid whose volume is 130 cubic meters contains 16 technical units of mass? If required Consider g=10 m/s2
An electrical company manufactures batteries that have a duration that is distributed approximately normally, with a mean of 700 hours and a standard deviation of 40 hours. Find the probability that a randomly selected battery has an average life of less than 810 hours.
2x-4y=-6; -4y+4y=-8
Mrs. Emily saved RM10000 in a bank. At the end of the eighth year, the amount of money accumulated amounted to RM19992.71. If the bank pays an annual interest of x% for a year compounded every 6 months. Calculate the value of x.
suppose random variable x follows poisson distribution with expected value 3. what is variance of x?
Fill in the P(X-x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -5 ,3 , 4, 5 , and 6.
A building lot is in the shape of a triangle with a base of 133 feet and a height of 76 feet. What is it's area in square feet?
(X+2)(x+3)=4x+18
9/14 x 7/27 carry out indicated operation
Find the zero of the linear function 8x + 24 = 0
1. A jeweler has two gold bars, with 80% purity and the other with 95% purity. How much of each must be melted to obtain a 5 kilo ingot with 86% purity?
Find the equation of a straight line that has slope 3 and passes through the point of (1, 7) . Write the equation of the line in general forms
a coffee shop has 9 types of creamer and 11 types of sweetener. In how any ways can a person make their coffee?
write in set builder notation { 1,3,9,27,81,243,...}
Define excel and why we use it?
64-6x^2>0
A gas is leaking at 3.5ft3/min in a room of 2.9m by 6.9ft by 15.7m. How long would it take (in seconds) for 22% of the room to reach the LFL, if the gas has a LFL of 2.51%?