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## Homework Statement

Let f be the functions f(x)=ln(3x+2)^k for some positibe constant k.

If f'(2)=3, what is the value of k?

the answer is 8,but i don't think i am taking the derivative right.

## Homework Equations

?

## The Attempt at a Solution

f'(x)=3k*ln(3x+2)^(k-1)/(3x+2)

then i plugged in (2,3) into the derivative above.

and i got k=8/(ln8)(8^(k-1))