Question

d/dx log2(3x)= (see attachment)

Answer 1

\[\log_2(3x)=\frac{\ln(3x)}{\ln(2)} \text{ by change of base } \]

So \[\frac{d}{dx}(\frac{\ln(3x)}{\ln(2)})=\frac{1}{\ln(2)} \frac{d}{dx}(\ln(3x))\]