Condense the logarithmic expression $3\ln\left(a\right)-\frac{1}{2}\left(\ln\left(b\right)+\ln\left(c^2\right)\right)$

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Learn how to solve condensing logarithms problems step by step online. Condense the logarithmic expression 3ln(a)-1/2(ln(b)+ln(c^2)). Using the power rule of logarithms: n\log_b(a)=\log_b(a^n), where n equals 3. 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: n\log_b(a)=\log_b(a^n). The power of a product is equal to the product of it's factors raised to the same power.