# How do you find the derivative of y = (lnx)/(ln3)?

Nov 15, 2016

#### Explanation:

You treat $\frac{1}{\ln} \left(3\right)$ as any other constant:

$y = \left(\frac{1}{\ln} \left(3\right)\right) \ln \left(x\right)$

$y ' = \left(\frac{1}{\ln} \left(3\right)\right) \frac{1}{x}$

Using a property of logarithms, ${\log}_{b} \left(a\right) \left(c\right) = {\log}_{b} \left({a}^{c}\right)$, this can be simplified to:

$y ' = \frac{1}{\ln} \left({3}^{x}\right)$