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Use Properties of Logarithms to Expand the Logarithmic Expression as Much

Question 38

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible.
- log5d4(c5) 2\log_ 5 \frac { d ^ { 4 } } { ( c - 5 ) ^ { 2 } }


A) 4log5d2log5(c5) 4 \log _ { 5 } d - 2 \log _ { 5 } ( c - 5 )
B) 4log5d2log5(c5) \frac { 4 \log _ { 5 } d } { 2 \log _ { 5 } ( c - 5 ) }
C) 4log5 d2log5c  2log55\frac { 4 \log _ { 5 } \mathrm {~d} } { 2 \log _ { 5 } c~ - ~2 \log _ { 5 } 5 }
D) 2(log5dlog5(c5) ) 2 \left( \log _ { 5 } d - \log_ 5 ( c - 5 ) \right)

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