Question

Find dy/dx for y=ln(5-x)^6

Answer 1

rewrite the question using log laws and it becomes

\[y = 6\ln(x - 5)\]

now you can use the product rule to find the derivative

Answer 2

y=ln(5-x)^6
y'=6ln(5-x)^5 × -1
= -6ln(5-x)^5