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Use the Product, Quotient, and Power Rules of Logarithms to Rewrite

Question 138

Multiple Choice

Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all
variables represent positive real numbers.
- 27logax+15logay\frac { 2 } { 7 } \log _ { a } x + \frac { 1 } { 5 } \log _ { a } y


A) 235logaxy\frac { 2 } { 35 } \log _ { a } x y
B) loga(x2/7y1/5) \log _ { a } \left( x ^ { 2 / 7 } y ^ { 1 / 5 } \right)
C) loga(y2/35) \log _ { a } \left( y ^ { 2 / 35 } \right)
D) loga(xy2/35) \log _ { a } \left( x y ^ { 2 / 35 } \right)

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