Reflect on the concept of exponential and logarithm functions. What concepts (only the
names) did you need to accommodate these new concepts in your mind? What are the
simplest exponential and logarithmic functions with base b ≠ 1 you can imagine? In
your day to day, is there any occurring fact that can be interpreted as exponential or
logarithmic functions? What strategy are you using to get the graph of exponential or
logarithmic functions?
Exponential functions look to some degree comparable to functions you have seen some time
recently, in that they include exponents, but there’s an enormous difference, in that the
variable is now the power, instead of the base. Already, you have dealt with such functions
as f(x) = x2, where the variable x was the base and the number 2 was the power. In the case of
exponentials, be that as it may, you may be dealing with functions such as g(x) = 2x, where
the base is the fixed number, and the control is the variable (Purplemath, 2020).
Logarithmic functions are the inverses of exponential functions, and any exponential function
can be communicated in logarithmic form. Additionally, all logarithmic functions can be
revamped in exponential form. Logarithms are truly valuable in allowing us to work with
exceptionally huge numbers whereas controlling numbers of a much more manageable size.
In the event that x = 2 y were to be solved for y, so that it might be composed in function
form, a new word or image would have to be presented. On the off chance that x = 2 y, at that
point y = (the power on base 2) to equal x. The word logarithm, shortened log, is presented to
fulfil this need. y = (the power on base 2) to equal x. This equation is rewritten as y = log 2
x. This is read as “y equals the log of x, base 2” or “y equals the log, base 2, of x.” (Cliff
Notes, 2020).
The exponential and the logarithmic function has a similar relationship as the logarithm is the
inverse of the exponential function. The exponential function starts slowly then grows rapidly
never-ending. It never touches the x-axis and the base is never equal to 1 as the base is a
names) did you need to accommodate these new concepts in your mind? What are the
simplest exponential and logarithmic functions with base b ≠ 1 you can imagine? In
your day to day, is there any occurring fact that can be interpreted as exponential or
logarithmic functions? What strategy are you using to get the graph of exponential or
logarithmic functions?
Exponential functions look to some degree comparable to functions you have seen some time
recently, in that they include exponents, but there’s an enormous difference, in that the
variable is now the power, instead of the base. Already, you have dealt with such functions
as f(x) = x2, where the variable x was the base and the number 2 was the power. In the case of
exponentials, be that as it may, you may be dealing with functions such as g(x) = 2x, where
the base is the fixed number, and the control is the variable (Purplemath, 2020).
Logarithmic functions are the inverses of exponential functions, and any exponential function
can be communicated in logarithmic form. Additionally, all logarithmic functions can be
revamped in exponential form. Logarithms are truly valuable in allowing us to work with
exceptionally huge numbers whereas controlling numbers of a much more manageable size.
In the event that x = 2 y were to be solved for y, so that it might be composed in function
form, a new word or image would have to be presented. On the off chance that x = 2 y, at that
point y = (the power on base 2) to equal x. The word logarithm, shortened log, is presented to
fulfil this need. y = (the power on base 2) to equal x. This equation is rewritten as y = log 2
x. This is read as “y equals the log of x, base 2” or “y equals the log, base 2, of x.” (Cliff
Notes, 2020).
The exponential and the logarithmic function has a similar relationship as the logarithm is the
inverse of the exponential function. The exponential function starts slowly then grows rapidly
never-ending. It never touches the x-axis and the base is never equal to 1 as the base is a
