Question

Help? 1 step at a time :)

derivative
y=4log_8(5x+3)

Answer 1

Im assuming that that means base 8 right?

Answer 2

yes

Answer 3

Ok.
d/dx((4log(5x+3)/log(8))
Factor out constants:
\[4(d/dx)((\log(5x+3)/\log(8))\]
use chain rule:
\[(4)(d/dx(5x+3)/5x+3)/\log(8)\]
Differentiate the sum term by term and factor out the constants:
\[4(5(d/dx(x)+d/dx(3))/(5x+3)\log(8)\]
Derivative of x is 1:
y'(x) = \[20/(5x+3)\log(8)\]