Question

differentiate logx3^x

Answer 1

is this
\[\log_x(3^x)\]??

Answer 2

yes

Answer 3

i hope not because how in the world are you going to differentiate
\[\log_x\]?

Answer 4

\[\log_x(3^x)=\frac{\ln(3^x)}{\ln(x)}=\frac{x \ln(3)}{\ln(x)}\]

Answer 5

oh maybe we can try this
\[\log_x(3^x)=x\log_x(3)=\frac{x\ln(3)}{\ln(x)}\]

Answer 6

lol

Answer 7

what myininaya said!

Answer 8

\[\ln(3) \cdot \frac{d}{dx} (\frac{x}{\ln(x)})\]

Answer 9

use quotient rule

Answer 10

zactly

Answer 11

\[\ln(3) \cdot \frac{(x)' \ln(x)-x \cdot (\ln(x))'}{(\ln(x))^2}\]

Answer 12

get
\[\frac{\ln(x)-1}{\ln^2(x)}\]

Answer 13

don't forget you constant multiply ln(3)

Answer 14

multiply the result by
\[\ln(3)\]

Answer 15

i was getting there...

Answer 16

no! :)

Answer 17

goodnight guys

Answer 18

ok you are faster
g'night!