Use the properties of logarithms to approximate $\ln \frac { 5 } { 31 },$ given that $\ln 5 \approx 1.6094$ and $\ln 31 \approx 3.4340$
A)-5.0434
B)-1.8246
C)0.4687
D)5.5267
E)5.0434

Question

Quizplus · Accepted Answer

The property of logarithms that applies here is $\ln \frac { a } { b } = \ln a - \ln b$. Using the given values, $\ln \frac { 5 } { 31 } = \ln 5 - \ln 31 = 1.6094 - 3.4340 = -1.8246$.

Use the Properties of Logarithms to Approximate ln⁡531,\ln \frac { 5 } { 31 },ln315​,

Use the Properties of Logarithms to Approximate $\ln \frac { 5 } { 31 },$