How do u differentiate logs?

[dommariesolomon]

Heyyy can someone explain how to differentiate

xloge(2x)

Thanks!

[RuiAce]

Heyyy can someone explain how to differentiate

xloge(2x)

Thanks!

\begin{align*}\frac{d}{dx} x\log_e (2x) &= x \times \frac{2}{2x} + 1 \times \log_e(2x)\\ &= 1 + \log_e(2x) \end{align*}