Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 166

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.
- $\log _ { 7 } \sqrt [ 5 ] { \frac { x ^ { 4 } y } { 49 } }$

• A) \(\frac { 1 } { 5 } \left( \log 7 x ^ { 4 } + \log 7 y - 2 \right)\)
• B) \(\frac { 4 } { 5 } \log 7 x - \frac { 1 } { 5 } \log 7 y + \frac { 2 } { 5 }\)
• C) \(\frac { 4 } { 5 } \log _ { 7 } x + \frac { 1 } { 5 } \log _ { 7 } y - \frac { 2 } { 5 }\)
• D) \(\frac { 1 } { 5 } \left( \log _ { 7 } \mathrm { x } ^ { 4 } \mathrm { y } - \log _ { 7 } 49 \right)\)

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