Final answer to the problem
$16\ln\left(x\right)+\frac{1}{2}\ln\left(\frac{y^{12}}{z^{16}}\right)$
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Step-by-step Solution
Learn how to solve expanding logarithms problems step by step online. Expand the logarithmic expression ln(x^16((y^12)/(z^16))^(1/2)). Applying the product rule for logarithms: \log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right). Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x). Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x).
Final answer to the problem
$16\ln\left(x\right)+\frac{1}{2}\ln\left(\frac{y^{12}}{z^{16}}\right)$
