solve: 3 ln x = ln 216\nx = 3\nx = 6\nx = 72
solve: 3 ln x = ln 216\nx = 3\nx = 6\nx = 72
Answer
Explanation:
Step1: Use logarithm property
Using the property (n\ln a=\ln(a^{n})), we can rewrite (3\ln x) as (\ln(x^{3})). So the equation becomes (\ln(x^{3})=\ln(216)).
Step2: Eliminate logarithms
Since the natural - logarithm function (y = \ln u) is one - to - one, if (\ln(x^{3})=\ln(216)), then (x^{3}=216).
Step3: Solve for x
Take the cube - root of both sides. We know that (x=\sqrt[3]{216}), and since (6\times6\times6 = 216), (x = 6).
Answer:
B. (x = 6)