# Sketching graphs of logarithmic functions?

• Dec 4th 2012, 01:57 PM
Dima110
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).
• Dec 4th 2012, 02:59 PM
emakarov
Re: Sketching graphs of logarithmic functions?
Quote:

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.
• Dec 4th 2012, 03:09 PM
skeeter
Re: Sketching graphs of logarithmic functions?
\$\displaystyle y = \log_2{x}\$ is the inverse of the function \$\displaystyle y = 2^x\$

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