Final Answer
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Applying the product rule for logarithms: $\log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right)$
Learn how to solve expanding logarithms problems step by step online.
$\ln\left(x\right)+\ln\left(\sqrt{x^2-1}\right)$
Learn how to solve expanding logarithms problems step by step online. Expand the logarithmic expression ln(x(x^2-1)^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). Factor the difference of squares x^2-1 as the product of two conjugated binomials. Applying the product rule for logarithms: \log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right).