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Use Properties of Logarithms to Evaluate the Expression u=lna\mathrm { u } = \ln \mathrm { a }

Question 277

Multiple Choice

Use properties of logarithms to evaluate the expression.
-Let u=lna\mathrm { u } = \ln \mathrm { a } and v=lnb\mathrm { v } = \ln \mathrm { b } . Write the following expression in terms of u\mathrm { u } and v\mathrm { v } without using the funct ln(ab45) \ln \left( \sqrt [ 5 ] { a b ^ { 4 } } \right)


A) u5+45v\frac { \mathrm { u } } { 5 } + \frac { 4 } { 5 } \mathrm { v }
B) u545v\frac { \mathrm { u } } { 5 } - \frac { 4 } { 5 } \mathrm { v }
C) 45u+45v\frac { 4 } { 5 } \mathrm { u } + \frac { 4 } { 5 } \mathrm { v }
D) u54v\frac { \mathrm { u } } { 5 } - 4 \mathrm { v } n ln.287)

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