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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)
