## Logarithm Graphs

The general equation of a logarithm graph is
$y=A+B ln(kx)$
.
Each pf
$A, \: B, \: k$
can be positive or negative and the sign and magnitude of each determines the shape of the graph.
The grapha has an asymptote in the line
$x=0$
. If
$k \gt 0$
, the graph lies to the right of the asymptote. If
$k \lt 0$
the graph is to the left of the asymptote.

The intercept with the
$x$
axis is at
$(\frac{1}{k}e^{- \frac{A}{B}},0)$