[tex]\begin{gathered} f(x)=\log _2x \\ g(x)=4\log _2(x+3) \end{gathered}[/tex]
Therefore,
[tex]\begin{gathered} \text{The graph of g(x) is the graph of f(x) translated 3 units to the left and then vertically stretched} \\ by\text{ a factor of 4} \end{gathered}[/tex]
