Question

2)f(x)=4^xlog(small 7)(x)

Answer 1

@Dodo1 What do you need to do here?

Answer 2

Logarithmic Derivatives

Answer 3

f(x)'=

Answer 4

@Luis_Rivera

Answer 5

y = 4^(x*log(7,x))

ln(y) = ln( 4^(x*log(7,x)) )

ln(y) = (x*log(7,x))* ln( 4 )

does that help?

Answer 6

log 7 *x?

Answer 7

what do you mean?

Answer 8

about part of log (7*x)

Answer 9

is it times?

Answer 10

oh log(7,x) means "log base 7 of x"

Answer 11

just shorthand notation

Answer 12

Thats cool, can i ask you other question?

Answer 13

sure

Answer 14

One more thing,
so this is homework called webwork online Homework,
I entered the answer it says log is too many inputs
what does it mean

Answer 15

show me with a screenshot please

Answer 16

screenshot?

Answer 17

take a picture of the screen using the printscreen key so I can see the error message

Answer 18

sure,

Answer 19

ok so the log isn't in the exponent at all

Answer 20

you would use the product rule in this case

Answer 21

y = 4^x*log(7,x)

y' = 4^x*ln(4)*log(7,x) + 4^x*1/x*1/ln(7)

y ' = (4^x*ln(4)*ln(x))/ln(7) + (4^x)/(x*ln(7))

Answer 22

you can optionally factor out the GCF to get

y ' = ( (4^x)/ln(7) ) * (ln(4)*ln(x) + 1/x )

Answer 23

YES! you are RIGHT!.
I have been asking this for about 4 hrs and people helped me but it didnt work. THANK YOU.
can i ask 5 more questions ? its homework due tomorrow.

Answer 24

i will open up the new post so you can have medal?

Answer 25

the system didn't like the log(7,x) since it probably wanted ln(x)/ln(7) or log(x)/log(7)

Answer 26

but I think log(7,x) is much more compact

Answer 27

Yes, Thank you so much!
Do you have time for other questions?

Answer 28

just ask them here, it's fine

Answer 29

yeah if they're not too long

Answer 30

5 shouldn't be too bad

Answer 31

I will delete this. post new one