# Math Help - Differentiating natural logarithms

1. ## Differentiating natural logarithms

The question is 2x log(base4)x

I believe this is product rule so I did this:

2/(ln4) + 2log(base4)x
or 2/(ln4) + log(base4)x^2

Did I make a mistake or is that a simplification or..?

it may be useful to write it like this $\frac{2}{\ln{4}}+ \frac{2 \ln{x}}{\ln{4}}$
then use the power law $\ln4 = 2 \ln 2$
so giving $\frac{1}{\ln 2}+ \frac{ \ln x}{ \ln 2}$
$\Rightarrow \frac{1+\ln x}{\ln 2}$