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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.
$\log_{4}\left(x\right)-\log_{4}\left(y^{3}\right)-\log_{4}\left(z\right)$
Learn how to solve condensing logarithms problems step by step online. Condense the logarithmic expression log4(x)-3log4(y)-log4(z). 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}{y^{3}}}{z} 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}.