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Use the Properties of Logarithms to Write lnxz3\ln \frac { x } { \sqrt [ 3 ] { z } }

Question 65

Multiple Choice

Use the properties of logarithms to write lnxz3\ln \frac { x } { \sqrt [ 3 ] { z } } as a sum, difference, or product of logarithms. Assume x and z are positive numbers.


A) lnx+13lnz\ln x + \frac { 1 } { 3 } \ln z
B) lnx13lnz\ln x - \frac { 1 } { 3 } \ln z
C) lnx3lnz\ln x - 3 \ln z
D) lnx+3lnz\ln x + 3 \ln z

Correct Answer:

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