Solve $\ln x ^ { 2 } - \ln 3 = 0$ for $x$.
A) 9
B) $- \sqrt { 3 } , \sqrt { 3 }$
C) $e ^ { 9 }$
D) $e ^ { 3 / 2 }$
E) no solution

Name: Solve $\ln x ^ { 2 } - \ln 3 = 0$ for $x$. A) 9 B) $- \sqrt { 3 } , \sqrt { 3 }$ C) $e ^ { 9 }$ D) $e ^ { 3 / 2 }$ E) no solution
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Question

Quizplus · Accepted Answer

Using the properties of logarithms, the equation can be simplified to $\ln(x^2) = \ln(3)$. This implies $x^2 = 3$, leading to $x = \sqrt{3}$ and $x = -\sqrt{3}$.

Solve ln⁡x2−ln⁡3=0\ln x ^ { 2 } - \ln 3 = 0lnx2−ln3=0

Solve $\ln x ^ { 2 } - \ln 3 = 0$