2ln(5)+4ln(3)-17ln(2)
You asked:
Evaluate the expression: \(2 \ln\left( 5 \right) + 4 \ln\left( 3 \right) - 17 \ln\left( 2 \right)\)
MathBot Answer:
\[2 \ln\left( 5 \right) + 4 \ln\left( 3 \right) - 17 \ln\left( 2 \right) = - 17 \log{\left(2 \right)} + 2 \log{\left(5 \right)} + 4 \log{\left(3 \right)} \approx -4.17017708997843074531044645064652\]
\[\begin{aligned}2 \ln\left( 5 \right) + 4 \ln\left( 3 \right) - 17 \ln\left( 2 \right)& = 2 \cdot \log{\left(5 \right)} + 4 \cdot \log{\left(3 \right)} - 17 \cdot \log{\left(2 \right)}\\& = \left(2 \cdot \log{\left(5 \right)} + 4 \cdot \log{\left(3 \right)}\right) - 17 \cdot \log{\left(2 \right)}\\& = -17 \cdot \log{\left(2 \right)} + 2 \cdot \log{\left(5 \right)} + 4 \cdot \log{\left(3 \right)}\end{aligned}\]