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Since the logarithmic function is the inverse of the exponential function, then we can say that
f(x) = 103x and g(x) = log 3x or f-1(x) = log 3x.
As we say that the logarithmic function is the reflection of the graph of the exponential function about the line y = x, we can also say that the exponential function is the reflection of the graph of the logarithmic function about the line y = x.
The equations
y = log(3x) or y = log10(3x) and 10y = 3x are different ways of expressing the same thing. The first equation is in the logarithmic form and the second equivalent equation is in exponential form. Notice that a logarithm, y, is an exponent.
So that the question becomes, "changing from logarithmic to exponential form":
y = log(3x) means 10y = 3x, where
x = (10y)/3.
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What is the inverse of y equals x?
The inverse of the function y = x is denoted as y = x. The inverse function essentially swaps the roles of x and y, so the inverse of y = x is x = y. In other words, the inverse function of y = x is the function x = y.
What is the inverse operation multiplying by 25?
The inverse of multiplication is division. y = 25x Substitute y for x and x for y to determine the inverse: x = 25y y = x/25
What is the inverse of y equals 4x-2?
6
What is the difference between multiplicative inverse and additive inverse?
The multiplicative inverse of a non-zero element, x, in a set, is an element, y, from the set such that x*y = y*x equals the multiplicative identity. The latter is usually denoted by 1 or I and the inverse of x is usually denoted by x-1 or 1/x. y need not be different from x. For example, the multiplicative inverse of 1 is 1, that of -1 is -1.The additive inverse of an element, p, in a set, is an element, q, from the set such that p+q = q+p equals the additive identity. The latter is usually denoted by 0 and the additive inverse of p is denoted by -p.
Which function is the inverse function of y 5x - 4?
1
What is the inverse to the statement x equals y?
x=y is the identity. It is its own inverse. So the inverse is y=x.
What is the inverse of y equals 4?
Let N= inverse of Y Given 1/Y=4 ---> Y=1/4 inverse of 1/4 ---> 1/(1/4)=4 N=inverse of Y=4
What is the inverse of y equals x?
The inverse of the function y = x is denoted as y = x. The inverse function essentially swaps the roles of x and y, so the inverse of y = x is x = y. In other words, the inverse function of y = x is the function x = y.
What is the inverse of the equation y equals 4x?
To find the inverse, replace y with x, and x with y. So, the inverse of the equation is: x = 4yWhich is equal to:y = x/4
Is x plus y equals 8 a inverse varition?
x+y=8 y=-x+8 is not an inverse variation. However, y=8/x is an inverse variation or y varies inversely as x.
What is the inverse of y equals 2 to the x power?
if y = 2x then x = log2 y
What is the inverse of y equals 5x-12?
17
Is x pluse y equals 7 direct or inverse variation?
Inverse: as x increases so y diminishes and vice-versa.
In inverse proportion x equals 2 and y equals 36 but what will y be when x equals 4?
Inverse proportion implies xy = c where c is the constant of [inverse] proportionality. x = 2 and y = 36 implies xy = 72 = c So the relationship is xy = 72 Then, if x = 4, y = 72/x = 72/4 = 18
What is the inverse of the equation y equals 2x plus 3?
x=(y-3)/2
What is the inverse of the function y equals log 5 x?
log5x
Why is the graph of an inverse of a function flipped over the line y equals x instead of another line?
Because the inverse of a function is what happens when you replace x with y and y with x.
