Use Properties of Logarithms to Condense the Logarithmic Expression $\left( \log _ { a } m - \log _ { a } n \right) + 4 \log _ { a } k$

question 84

Multiple Choice

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm
whose coefficient is 1. Where possible, evaluate logarithmic expressions.
- $\left( \log _ { a } m - \log _ { a } n \right) + 4 \log _ { a } k$

• A) \(\log _ { a } \frac { m k 4 } { n }\)
• B) \(\log _ { \mathrm { a } } \mathrm { mk } ^ { 4 } \mathrm { n }\)
• C) \(\log _ { a } \frac { m } { k^ 4 n }\)
• D) \(\log _ { \mathrm { a } } \frac { 4 \mathrm { mk } } { \mathrm { n } }\)

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