Final answer to the problem
$\ln\left(\frac{x+3}{\left(x-3\right)\left(x^2-9\right)}\right)$
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Step-by-step Solution
Learn how to solve condensing logarithms problems step by step online. Condense the logarithmic expression ln(x/((x-3)(x^2-9)))+ln((x+3)/x). Applying the product rule for logarithms: \log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right). Multiplying fractions \frac{x}{\left(x-3\right)\left(x^2-9\right)} \times \frac{x+3}{x}. Simplify the fraction \frac{x\left(x+3\right)}{\left(x-3\right)\left(x^2-9\right)x} by x. Simplify the fraction \frac{x\left(x+3\right)}{\left(x-3\right)\left(x^2-9\right)x} by x.
Final answer to the problem
$\ln\left(\frac{x+3}{\left(x-3\right)\left(x^2-9\right)}\right)$
