Expand the logarithmic expression $\ln\left(\frac{5x\sqrt{2-7x}}{3\left(x-4\right)^8}\right)$

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Learn how to solve expanding logarithms problems step by step online. Expand the logarithmic expression ln((5x(2-7x)^(1/2))/(3(x-4)^8)). The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator. Applying the product rule for logarithms: \log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right). Applying the product rule for logarithms: \log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right). Applying the product rule for logarithms: \log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right).