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What are the applications of logarithmic and exponential functions in real life?
Wiki User
∙ 13y ago
I am both a Mechanical and an Electrical engineer ( aka use math in real life every day) and I work every day with systems described by exponential or logarithmic functions.
Just to name a few:
- Charging or discharging of a capacitor
- Any LRC circuit (or any combination thereof)
- Any SMD system (or any combination thereof)
- radioactive decay
- algorithmic efficiency
In other words, if you want to describe a real life you will probably encounter some exponential function. This comes from the fact that the solution to differential equations ( which govern most of the universe) generally contain an exponential term.
Wiki User
∙ 13y ago
theoneandonly
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How can you use logarithmic and exponential equations and properties to solve half-life and logistic growth scenarios?
For an exponential function: General equation of exponential decay is A(t)=A0e^-at The definition of a half-life is A(t)/A0=0.5, therefore: 0.5 = e^-at ln(0.5)=-at t= -ln(0.5)/a For exponential growth: A(t)=A0e^at Find out an expression to relate A(t) and A0 and you solve as above
Real life situation modeled by a function?
Suppose x people are eating at a (really cheap) buffet which costs $2 a person. Then the cost y is y = 2x. With a $3 off coupon it becomes y = 2x-3 (however I'm sure that most restaurants would want a sufficient number of people to make profit). Many other real-life applications are modeled using other functions. The bell curve is among the most common form, as it is used in statistics and distributions. Population models use a logistics function, another type of transcendental function. The catenary curve occurs when a chain or power line hangs on two ends, and is modeled by the hyperbolic cosine function y = cosh(x).
Example of a real life linear function?
Linear functions are used to model situations that show a constant rate of change between 2 variables. For example, the relation between feet and inches is always 12 inches/foot. so a linear function would be y = 12 x where y is the number of inches and x is the number of feet. y = 24 x models the number of hours in any given number of days {x}. Business applications abound. If a cell phone company charges a start-up fee of $50 and then $.05 for every minute used, the function is y = .05 x + 50.
What is impulsive system in differential equation?
A differential equation have a solution. It is continuous in the given region, but the solution of the impulsive differential equations have piecewise continuous. The impulsive differential system have first order discontinuity. This type of problems have more applications in day today life. Impulses are arise more natural in evolution system.
How can you relate operations on whole numbers in your daily life?
how do whole number relate to everday life
What should you include in a paper about Logarithms?
you should include the definition of logarithms how to solve logarithmic equations how they are used in applications of math and everyday life how to graph logarithms explain how logarithms are the inverses of exponential how to graph exponentials importance of exponential functions(growth and decay ex.) pandemics, population)
How do you use logarithmic functions in real life?
I am both a Mechanical and an Electrical engineer ( aka use math in real life every day) and I work every day with systems described by exponential or logarithmic functions.Just to name a few:Charging or discharging of a capacitorAny LRC circuit (or any combination thereof)Any SMD system (or any combination thereof)radioactive decayalgorithmic efficiencyIn other words, if you want to describe a real life you will probably encounter some exponential function. This comes from the fact that the solution to differential equations ( which govern most of the universe) generally contain an exponential term.
How can you use logarithmic and exponential equations and properties to solve half-life and logistic growth scenarios?
For an exponential function: General equation of exponential decay is A(t)=A0e^-at The definition of a half-life is A(t)/A0=0.5, therefore: 0.5 = e^-at ln(0.5)=-at t= -ln(0.5)/a For exponential growth: A(t)=A0e^at Find out an expression to relate A(t) and A0 and you solve as above
Real life application to the reciprocal function?
There are no real life applications of reciprocal functions
What are the real life examples of exponential functions?
Compound interest, depreciation, bacterial growth, radioactive decay etc.
What is an example from real life where you would want to use a logarithmic equation?
If by "real life" you include the physical world, then you express the spontaneous decay of radioactivity in a sample with a logarithmic equation.
What are functions of apps?
Apps is a short term which means applications. An App can perform almost any function possible on the device for which it was intended. Most apps add functions that make your work or life easier.
What is a real-life application of an linear function of earthquakes magnitude?
earthquake magnitude is exponential, not linear. for every increase of 1 on the Richter scale, an earthquake releases 10 times as much energy. The Richter scale has been superseded the moment magnitude scale (MMS). MMS is still logarithmic, but deviates somewhat from the Richter scale (an increase of one indicates about 30 times as much energy). Certain equations or algorithms might be designed for a linear scale, but for most applications a linear scale would be unnecessary and impractical. == == == ==
What are the applications of elasticity in daily life?
what are the applications on elasticity
What life functions does the heart support?
The heart supports all life functions.
What are some real life Applications of Polynomial Functions?
That depends on what you mean with "real-life". You won't need polynomial functions to sell stuff at a supermarket, or to cut off a dead branch from your tree... but if you work in science and engineering, you will need some really advanced math - much more than a simple polynomial function.
What is the use of special functions like beta and gamma functions in your daily life?
Special functions are always useful in daily life.
