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Use the Properties of Logarithms to Write the Expression ln(xx2+85)\ln \left( x \sqrt [ 5 ] { x ^ { 2 } + 8 } \right)

Question 35

Multiple Choice

Use the properties of logarithms to write the expression ln(xx2+85) \ln \left( x \sqrt [ 5 ] { x ^ { 2 } + 8 } \right) as a sum, difference, or multiple of logarithms.


A) lnx+18ln(x2+5) \ln x + \frac { 1 } { 8 } \ln \left( x ^ { 2 } + 5 \right)
B) ln(x2+8) +15lnx\ln \left( x ^ { 2 } + 8 \right) + \frac { 1 } { 5 } \ln x
C) lnx+15ln(x2+8) \ln x + \frac { 1 } { 5 } \ln \left( x ^ { 2 } + 8 \right)
D) ln(x2+5) +18lnx\ln \left( x ^ { 2 } + 5 \right) + \frac { 1 } { 8 } \ln x
E) lnx+ln(x2+8) \ln x + \ln \left( x ^ { 2 } + 8 \right)

Correct Answer:

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