Question

Find the slope of the tangent line to the curve y=logBase5(3x-1) at point x=3

Answer 1

I 'll try to help but i see satelite 73 here, let him helps you

Answer 2

Hoa-I just need to know how to start it any help will do(:

Answer 3

go ahead
the idea is to take the derivative and replace \(x\) by 3
what you need to know is that
\[\frac{d}{dx}\log_b(x)=\frac{1}{x\ln(b)}\]

Answer 4

that plus the chain rule should get you the derivative
if that is not clear let me know

Answer 5

Okay let me give it a try, Thanks(:

Answer 6

don't forget the "x" here is 3x-1 not just x . I don't know whether it's right or wrong. my pro leads me another way when solving that problem. ok. whatever, go to his way first.

Answer 7

I got it, Thanks to both of you(: