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Using the power rule of logarithms: $n\log_b(a)=\log_b(a^n)$
Learn how to solve condensing logarithms problems step by step online.
$\ln\left(x^2-9\right)-\ln\left(\left(x-3\right)^{2}\right)-\ln\left(x+3\right)$
Learn how to solve condensing logarithms problems step by step online. Condense the logarithmic expression ln(x^2-9)-2ln(x-3)-ln(x+3). Using the power rule of logarithms: n\log_b(a)=\log_b(a^n). The difference of two logarithms of equal base b is equal to the logarithm of the quotient: \log_b(x)-\log_b(y)=\log_b\left(\frac{x}{y}\right). The difference of two logarithms of equal base b is equal to the logarithm of the quotient: \log_b(x)-\log_b(y)=\log_b\left(\frac{x}{y}\right). Divide fractions \frac{\frac{x^2-9}{\left(x-3\right)^{2}}}{x+3} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}.