# Math Help - Sketching graphs of logarithmic functions?

1. ## Sketching graphs of logarithmic functions?

The problem is as follows:

Sketch a graph of each pair of function.

f(x) = logb2(x) , g(x) = logb4(x)

How would I even begin to solve this problem??

For reference, logb2(x) = log base two (x).

2. ## Re: Sketching graphs of logarithmic functions?

Originally Posted by Dima110
How would I even begin to solve this problem??
The same way you plot the graph of any other function f: choose several values x1, x2, ..., calculate y1 = f(x1), y2 = f(x2), ..., plot the points (x1, y1), (x2, y2), ... and connect them.

3. ## Re: Sketching graphs of logarithmic functions?

$y = \log_2{x}$ is the inverse of the function $y = 2^x$

note that a function and its inverse are symmetrical to the line $y = x$ ... if you can graph the exponential function, you can graph the log function.