Logarithm of negative argument graph

[Fisiodes]

If logarithms can't have negative argument, why log_2 (-X) graph is the reflection of log_2 (x) across y axis?

 

[Fisiodes]

Ok, understood, bc only for negative values x became positive

 

[Dr.Peterson]

If logarithms can't have negative argument, why log_2 (-X) graph is the reflection of log_2 (x) across y axis?

Try plotting points and see!

If [imath]f(x) = log_2(-x)[/imath], what is [imath]f(-2)[/imath]?

You'll observe that the logarithm itself does not have a negative argument there!