Final answer to the problem
$3\ln\left(x+6\right)+\ln\left(\left(7x-3\right)^4\right)$
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Step-by-step Solution
Specify the solving method
1
Applying the product rule for logarithms: $\log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right)$
$\ln\left(\left(x+6\right)^3\right)+\ln\left(\left(7x-3\right)^4\right)$
2
Simplify the derivative
$3\ln\left(x+6\right)+\ln\left(\left(7x-3\right)^4\right)$
Final answer to the problem
$3\ln\left(x+6\right)+\ln\left(\left(7x-3\right)^4\right)$