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Condense the logarithm 7log b-log k Answer: log(◻)

Condense the logarithm\newline7log⁡b−log⁡k 7 \log b-\log k \newlineAnswer: log⁡(□) \log (\square)

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Q. Condense the logarithm\newline7log⁡b−log⁡k 7 \log b-\log k \newlineAnswer: log⁡(□) \log (\square)
  1. Apply Quotient Rule: Now, we can use the quotient rule of logarithms, which states that log⁡b(c)−log⁡b(d)=log⁡b(cd)\log_b(c) - \log_b(d) = \log_b\left(\frac{c}{d}\right), to combine the two logarithms into one.\newlineSo, log⁡(b7)−log⁡k\log(b^7) - \log k can be rewritten as log⁡(b7k)\log\left(\frac{b^7}{k}\right).
  2. Rewrite as Single Logarithm: We have now condensed the logarithm into a single logarithmic expression.\newlineThe final answer is log⁡(b7k)\log(\frac{b^7}{k}).

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