The logarithmic function is applicable when modeling business applications. This is because it offers a constant mathematical
relationship
, constant constraints themes which are set by the administrator for every group of significant factors. Thus, the equation is controlled by the situational constraints.
What application has the logarithmic function?
Three of the most common applications of exponential and logarithmic functions have to do with
interest earned on an investment, population growth, and carbon dating
.
Why logarithmic function is important on those applications?
Logarithmic functions are important largely
because of their relationship to exponential functions
. Logarithms can be used to solve exponential equations and to explore the properties of exponential functions.
What is the purpose of logarithmic functions?
Logarithmic scales are useful
for quantifying the relative change of a value as opposed to its absolute difference
. Moreover, because the logarithmic function log(x) grows very slowly for large x, logarithmic scales are used to compress large-scale scientific data.
What is logarithmic function real life examples?
Real Life Examples of Logarithms (in Everyday Life)
The Richter Scale for earthquakes
is a classic example of a logarithmic scale in real life. One of the more interesting facts about this particular logarithmic scale is that it’s related to the length of the fault line.
Is logarithmic the same as logistic?
As adjectives the difference between logistic and logarithmic. is that
logistic is (operations) relating to logistics
while logarithmic is (mathematics) of, or relating to logarithms.
How is the logarithmic function defined?
: a function (such as y = log
a
x or y = ln x) that is
the inverse of an exponential function
(such as y = a
x
or y = e
x
) so that the independent variable appears in a logarithm.
How do you know if a graph is a logarithmic function?
When graphed, the logarithmic function is similar in shape to the square root function, but with a vertical asymptote as x approaches 0 from the right. The point (1,0) is on the graph of all logarithmic functions of the form
y=logbx y = l o g b x
, where b is a positive real number.
What is the difference between exponential and logarithmic functions?
The exponential function is given by ƒ(x) = e
x
, whereas the logarithmic function is given by
g(x) = ln x
, and former is the inverse of the latter. … The range of the exponential function is a set of positive real numbers, but the range of the logarithmic function is a set of real numbers.
What is logarithmic function example?
For example, 32 = 2 × 2 × 2 × 2 × 2 = 2
2
. The exponential function 2
2
is read as “two raised by the exponent of five” or “two raised to power five” or “two raised to the fifth power.” Then the logarithmic function is given by;
f(x) = log
b
x = y
, where b is the base, y is the exponent, and x is the argument.
What is the difference between linear and logarithmic scale?
A logarithmic price scale uses the percentage of change to plot data points, so, the scale prices are not positioned equidistantly. A linear price scale uses
an equal value between price scales
providing an equal distance between values.
What is a real life example of an exponential function?
Exponential functions are often used to represent real-world applications, such as
bacterial growth/decay, population growth/decline, and compound interest
. Suppose you are studying the effects of an antibiotic on a certain bacteria.
How are logarithms useful in daily life?
Real Life Application of Logarithms in Determining pH Value
The Real-Life scenario of Logarithms is
to measure the acidic, basic or neutral of a substance that describes a chemical property in terms of pH value
.
How are limits used in real life?
Real-life limits are used
any time you have some type of real-world application approach a steady-state solution
. As an example, we could have a chemical reaction in a beaker start with two chemicals that form a new compound over time. … Limits are also used as real-life approximations to calculating derivatives.
What is an example of logarithmic growth?
There are many examples of logarithmic growth in daily life.
Fitness and Strength Training
: The “beginner gains” come quickly at first, but then it becomes more difficult to get stronger each week. Literacy: Children and young students make massive leaps as they learn how to read.
