Question

Differentiate using the method of logarithmic differentiation.

Answer 1

\[y=(lnx)^{tanx}\]

Answer 2

\[\large \ln(x)^{\tan(x)}=e^{\tan(x)\ln(\ln(x))}\] take the derivative using the chain rule and product rule

Answer 3

I would've done that, but it forces us to use the log differentiation method.