Find the value. Give an approximation to four decimal places.
-$\ln \left( 6.09 \times \mathrm { e } ^ { 3 } \right)$
A) $- 1.1934$
B) $3.2648$
C) $4.8066$
D) $1.8066$

Question

Quizplus · Accepted Answer

The expression can be simplified using the logarithm property $\ln(a \times b) = \ln(a) + \ln(b)$, where $a = 6.09$ and $b = e^3$. Since $\ln(e^3) = 3$, the expression simplifies to $\ln(6.09) + 3$. Using a calculator, $\ln(6.09) \approx 1.8066$, so the total value is $1.8066 + 3 = 4.8066$.

Find the Value ln⁡(6.09×e3)\ln \left( 6.09 \times \mathrm { e } ^ { 3 } \right)ln(6.09×e3)

Find the Value $\ln \left( 6.09 \times \mathrm { e } ^ { 3 } \right)$