## Logarithm Graphs

\[y=A+B ln(kx)\]

.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 \[(\frac{1}{k}e^{- \frac{A}{B}},0)\]