Question

Derivative of a log

Answer 1

What is the derivative of log base 5 of x^6 ?

Answer 2

Would it be ln(x^6)/ln5 ? or 1/(x^6)(ln5) ?

Answer 3

first switch to base e?

think you did that

Answer 4

so \(\dfrac{d}{dx} ( \log_5 (x^6)) = \dfrac{d}{dx} \left ( \dfrac{\ln (x^6)}{ \ln 5} \right)\)

\(= \dfrac{d}{dx} \left ( \dfrac{6 \ln (x)}{ \ln 5} \right)\)

Answer 5

It was given as base e
Ahh so I was right :D thanks. Mind checking one more?

Answer 6

if that one's done, start a new thread

Answer 7

Okay, thanks for your help!

Answer 8

mp