12 multiple choice 1 point simplify $e^{(3ln 2)}$. 6 $ln 8$ 9 8 $\frac{1}{9}$
12 multiple choice 1 point simplify $e^{(3ln 2)}$. 6 $ln 8$ 9 8 $\frac{1}{9}$
Answer
Explanation:
Step1: Use logarithm property
Recall that (a\ln b=\ln(b^{a})). So, (3\ln 2 = \ln(2^{3})=\ln 8).
Step2: Use exponential - logarithm property
We know that (e^{\ln x}=x) for (x > 0). Since our expression is (e^{3\ln 2}=e^{\ln 8}), then (e^{\ln 8}=8).
Answer:
8