You can put this solution on YOUR website! you can solve y = 2^x easily enough.
In order to solve x = 2^y, you would have to solve for y.
x = 2^y if and only if y =
for example:
2^3 = 8
should equal 3
Convert to base of 10 in order to solve this using your calcultor.
Use the conversion formula of =
This becomes = 3.
To graph these equations, therefore:
y = 2^x can be graphed directly.
x = 2^y can be graphed by solving for y and getting y =
A graph of both of these equations looks like:
Since both these equations are reflections about the line y = x, this means that y = is the inverse function of y = 2^x.
The same graph with the line y = x added shows this.
In fact, in order to find the inverse function of y = 2^x, you would have to solve for x and then replace x with y and y with x.
You would wind up with the same equation.
y = 2^x if and only if x =
So when you solve for x, you get x =
When you replace y with x and x with y, you get:
y = which is the inverse equation of y = 2^x and is exactly the equation we got when we solved for y in order to be able to graph it.
