<p>Let&nbsp;\(f(x) = 3 \ln{x}\) and \(g(x) = \ln{5x^3}\).</p>
<ol class="abc-list"><li data-list-item-id="item-1788162387709-gy7tvkunc" data-list-item-path="item-1788162387709-gy7tvkunc"><div class="list-item-paragraph"><p>Express \(g(x)\) in the form \(f(x) + \ln{a}\), where \( a \in \mathbb{Z}^+\)</p><span class="inline-marks">[4]</span></div></li><li data-list-item-id="item-1788162388316-18u1m103n" data-list-item-path="item-1788162388316-18u1m103n"><div class="list-item-paragraph"><p>The graph of \(g\) is a transformation of the graph of \(f\). Give a full geometric description of this transformation.</p><span class="inline-marks">[3]</span></div></li></ol>

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

<p>Express \(g(x)\) in the form \(f(x) + \ln{a}\), where \( a \in \mathbb{Z}^+\)</p>

<p>The graph of \(g\) is a transformation of the graph of \(f\). Give a full geometric description of this transformation.</p>

Functions

International Baccalaureate Mathematics: Applications and Interpretation Standard Level