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Properties of Logarithms: Rewriting as Single Logarithm Expressions

This section delves into the properties of logarithms, focusing on rewriting logarithmic expressions as sums or differences without exponents. It covers tasks such as expressing logarithms in terms of known values (e.g., if ln(2) = a and ln(3) = b), and linking them to other logarithmic forms. Additionally, it explores integer solutions to inequalities related to logarithmic expressions. This comprehensive overview helps strengthen understanding of logarithmic identities and their applications in solving mathematical problems.

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Properties of Logarithms: Rewriting as Single Logarithm Expressions

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  1. Section 9.4.1 – Properties of Logarithms

  2. Try these four…rewriting each as a single logarithm:

  3. Rewrite each of the following as the sum/difference of logarithms with no exponents

  4. Rewrite each of the following as a single logarithm:

  5. If ln 2 = a and ln 3 = b, find the following in terms of a and b:

  6. Given log 3 = a and log 5 = b, log 6 =

  7. How many integer solutions satisfy the inequality A. 1 B. 2 C. 3 D. 4 E. 5 X X 2 1 4 3 5

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