Use properties of logarithms to evaluate the expression.
-Let $\mathrm { u } = \ln \mathrm { a }$ and $\mathrm { v } = \ln \mathrm { b }$. Write the following expression in terms of $\mathrm { u }$ and $\mathrm { v }$ without using the funct $\ln \frac { a ^ { 6 } } { b ^ { 2 } }$
A) $6 u + 2 v$
B) $6 u - 2 v$
C) $2 u - 6 v$
D) $u ^ { 6 } - v ^ { 2 }$ n ln.285)

Question

Quizplus · Accepted Answer

Using the properties of logarithms, specifically the quotient and power rules, $\ln \frac { a ^ { 6 } } { b ^ { 2 } }$ simplifies to $6\ln a - 2\ln b$, which is $6u - 2v$.

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

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