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The difference of two logarithms of equal base $b$ is equal to the logarithm of the quotient: $\log_b(x)-\log_b(y)=\log_b\left(\frac{x}{y}\right)$
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$\log_{2}\left(\frac{\frac{384}{5}}{\frac{6}{5}}\right)$
Learn how to solve condensing logarithms problems step by step online. Condense the logarithmic expression log2(76.8)-log2(1.2). 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 \frac{384}{5} by \frac{6}{5}. Decompose 64 in it's prime factors. Use the following rule for logarithms: \log_b(b^k)=k.