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A logarithm is an exponent.
Assume 1 ≠ a > 0 and x > 0
Definition of Logarithmic Function with base a:
y = logax ↔ ay = x
ln(ay) = ln x = y ln a
y = ln x/ln a
Definite logax = ln x/ln a
Properties:
- The domain of f is all positive real numbers.
- The range of f is all positive real numbers.
- f(1) = 0
- f is an increasing function when a > 1 and decreasing if 0 < a < 1.
From the definition of logarithm, it's obvious that
f(x) = logax and f(x) = ax are inverse functions.
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Is an exponential function is the inverse of a logarithmic function?
No, an function only contains a certain amount of vertices; leaving a logarithmic function to NOT be the inverse of an exponential function.
A logarithmic function takes the exponential function's and returns the exponential function's input?
output
A function that decreases proportionally to it's current value. The smaller the function gets the faster it decreases.?
The logarithmic function is one such.
Which answer represents the domain of the logarithmic function given below F(x) log7 x?
X>0
What exponential equation is equivalent to the logarithmic equation e exponent a equals 47.38?
The given equation is exponential, not logarithmic!The logarithmic equation equivalent to ea= 47.38 isa = ln(47.38)ora = log(47.38)/log(e)The given equation is exponential, not logarithmic!The logarithmic equation equivalent to ea= 47.38 isa = ln(47.38)ora = log(47.38)/log(e)The given equation is exponential, not logarithmic!The logarithmic equation equivalent to ea= 47.38 isa = ln(47.38)ora = log(47.38)/log(e)The given equation is exponential, not logarithmic!The logarithmic equation equivalent to ea= 47.38 isa = ln(47.38)ora = log(47.38)/log(e)
How do you change an exponential functions to a logarithmic function?
If y is an exponential function of x then x is a logarithmic function of y - so to change from an exponential function to a logarithmic function, change the subject of the function from one variable to the other.
What is logarithmic function?
n mathematics, the logarithmic function is an inverse function to exponentiation. The logarithmic function is defined as The base of the logarithm is a. This can be read it as log base a of x. The most 2 common bases used in logarithmic functions are base 10 and base e.
Is an exponential function is the inverse of a logarithmic function?
No, an function only contains a certain amount of vertices; leaving a logarithmic function to NOT be the inverse of an exponential function.
What is the inverse of an exponent function?
It is the logarithmic function.
What do you call the inverse function of the exponential function?
Logarithmic Function
A logarithmic function is the inverse of an exponential function?
Yes.
Is the inverse of an exponential function the quadratic function?
No. The inverse of an exponential function is a logarithmic function.
What is the equation of a logarithmic equation?
A logarithmic equation would be any equation that includes the log function.
A logarithmic function takes the exponential function's and returns the exponential function's input?
output
A logarithmic function takes the exponential function's output and returns the exponential function's?
input
Is y0.25x a logarithmic function?
As far as this browser allows, the answer is NO.
What is the difference in the Natural Logarithmic Function and the Common Logarithmic Function?
Natural logarithms use base e (approximately 2.71828), common logarithms use base 10.
