How do you graph the following logs?

f(x)=log5 (x-2)
f(x)=log5 x-2
f(x)= log5 x
f(x)=log5 (x+2)

1 answer

use f(x)= log5 x as your reference graph.

You should know what your standard log function graph looks like

If you translate the reference graph 2 units to the right, you get the first equation
If you translate the reference graph 2 units to the left, you get the last equation

If you translate the reference graph 2 units downwards, you get the second equation