Solve the equation.
-$\ln \left( x ^ { 2 } - 4 \right) - \ln ( x + 2 ) = \ln 1$
A) $\pm 2$
B)3
C) $\pm \sqrt { 5 }$
D)2

Name: Solve the equation. -$\ln \left( x ^ { 2 } - 4 \right) - \ln ( x + 2 ) = \ln 1$ A) $\pm 2$ B)3 C) $\pm \sqrt { 5 }$ D)2
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Question

Quizplus · Accepted Answer

Using the properties of logarithms, the equation can be simplified to $\ln \left( \frac { x ^ { 2 } - 4 } { x + 2 } \right) = \ln 1$. Simplifying the fraction gives $\ln (x - 2) = \ln 1$, which implies $x - 2 = 1$, leading to $x = 3$.

Solve the Equation ln⁡(x2−4)−ln⁡(x+2)=ln⁡1\ln \left( x ^ { 2 } - 4 \right) - \ln ( x + 2 ) = \ln 1ln(x2−4)−ln(x+2)=ln1

Solve the Equation $\ln \left( x ^ { 2 } - 4 \right) - \ln ( x + 2 ) = \ln 1$