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Write the expression -ln 2+ln 5 as a single logarithm in simplest form without any negative exponents. Answer: ln(◻)

Write the expression −ln⁡2+ln⁡5 -\ln 2+\ln 5 as a single logarithm in simplest form without any negative exponents.\newlineAnswer: ln⁡(□) \ln (\square)

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Full solution

Q. Write the expression −ln⁡2+ln⁡5 -\ln 2+\ln 5 as a single logarithm in simplest form without any negative exponents.\newlineAnswer: ln⁡(□) \ln (\square)
  1. Apply Quotient Rule: −ln⁡2+ln⁡5-\ln 2 + \ln 5 can be rewritten using the quotient rule as ln⁡(52)\ln(\frac{5}{2}).
  2. Check for Negative Exponents: There are no negative exponents in the expression ln⁡(52)\ln(\frac{5}{2}), so the expression is already in its simplest form.

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