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  
. 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.

logarithm graphs

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

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