Functions

Let \(f(x) = 3 \ln{x}\) and \(g(x) = \ln{5x^3}\).

1. Express \(g(x)\) in the form \(f(x) + \ln{a}\), where \( a \in \mathbb{Z}^+\)

   [4]

2. The graph of \(g\) is a transformation of the graph of \(f\). Give a full geometric description of this transformation.

   [3]