Final answer to the problem
$g\left(x\right)=\ln\left(x^3\right)+\ln\left(\sqrt{x+1}\right)$
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Step-by-step Solution
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- Write in simplest form
- Solve by quadratic formula (general formula)
- Find the derivative using the definition
- Simplify
- Find the integral
- Find the derivative
- Factor
- Factor by completing the square
- Find the roots
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1
Applying the product rule for logarithms: $\log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right)$
$g\left(x\right)=\ln\left(x^3\right)+\ln\left(\sqrt{x+1}\right)$
Final answer to the problem
$g\left(x\right)=\ln\left(x^3\right)+\ln\left(\sqrt{x+1}\right)$