Question

Differentiate F(x) = (log9 x)7

Answer 1

You mean \(\log_9x\) or \(\log9x\)?

Answer 2

the first one

Answer 3

Some log formula: \(\Large\frac{\log_na}{\log_nb}=\log_ba\)

Answer 4

In this case you'd like to transform it to \(\Large\left(\dfrac{\ln x}{\ln 9}\right)^7\)

Answer 5

Chain rule?

Answer 6

so the final answer would be (ln x/ln 9)^7?

Answer 7

No, this is only the question

Answer 8

I'm kinda lost right now but ok

Answer 9

\[\Large(\log_9x)^7=\Large\left(\dfrac{\ln x}{\ln 9}\right)^7\]

Answer 10

oh ok. i see now. thanks

Answer 11

Continue using chain rule?

Answer 12

Benji - did you check my last answer (half-life)?

Answer 13

yes wolfman1728. i figured how to do it. thanks for the help you guys

Answer 14

Okay - and sorry for the interruption.

Answer 15

Treat \(\dfrac{\ln x}{\ln9}\) as one thing first, now differentiate it