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Using the power rule of logarithms: $n\log_b(a)=\log_b(a^n)$, where $n$ equals $\frac{1}{2}$
Learn how to solve condensing logarithms problems step by step online.
$\ln\left(\sqrt{x-9}\right)+\frac{1}{2}\ln\left(x\right)$
Learn how to solve condensing logarithms problems step by step online. Condense the logarithmic expression 1/2ln(x-9)+1/2ln(x). Using the power rule of logarithms: n\log_b(a)=\log_b(a^n), where n equals \frac{1}{2}. Using the power rule of logarithms: n\log_b(a)=\log_b(a^n), where n equals \frac{1}{2}. Applying the product rule for logarithms: \log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right).