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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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Q: What is the inverse of y equals log3x?

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x=y is the identity. It is its own inverse. So the inverse is y=x.

To find the inverse simply switch the x's with the y's so... inverse of y=x is x=y

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

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

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.

if y = 2x then x = log2 y

17

Inverse: as x increases so y diminishes and vice-versa.

log5x

x=(y-3)/2

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

6

No, this is an inverse variation.

Direct

Because the inverse of a function is what happens when you replace x with y and y with x.

f(x) = 1/x except where x = 0.

y-1=(x-2)^1/2

To find the inverse of a function, you replace x with y and y with x. Here, y=2x-4 would become x=2y-4. Now, we solve for y. 2y=x+4. y=(x/2)+4, and that is the inverse equation.

Y = X2 Inverse. Y = 1/X2 ======

y=x+2/4 (x+2 is all over four)

The equation is xy = 5*9 = 45 Alternatively, y = 45/x

it would be, X*Y=K (X multiplied by Y equals K) You get inverse equations when there is no specific number you are multiplying by. it can also be Y=K/X, hope this helps :)

Assuming that b > 0, it is an inverse power function or an inverse exponential function.

If y is equal to -4 there is not a multiplicative inverse. If y is different than -4 the inverse is: -1/(4+y)

You have, y = 6 + log x anti log of it, 10y = (106) x