Solve for x.
-$\mathrm { e } ^ { \left( \mathrm { x } ^ { 2 } + 9 \right) }$ ∙ $e ^ { ( 6 x ) }$ = 1
A) x = 0
B) x = ln $\frac { 1 } { 2 }$
C) x = -3
D) x = ± $\sqrt { 3 }$

Name: Solve for x. -$\mathrm { e } ^ { \left( \mathrm { x } ^ { 2 } + 9 \right) }$ ∙ $e ^ { ( 6 x ) }$ = 1 A) x = 0 B) x = ln $\frac { 1 } { 2 }$ C) x = -3 D) x = ± $\sqrt { 3 }$
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Question

Solve for x. 
-$\mathrm { e } ^ { \left( \mathrm { x } ^ { 2 } + 9 \right) }$ ∙ $e ^ { ( 6 x ) }$ = 1
A) x = 0
B) x = ln $\frac { 1 } { 2 }$
C) x = -3
D) x = ± $\sqrt { 3 }$

Quizplus · Accepted Answer

The equation simplifies to $e^{x^2 + 6x + 9} = 1$. Since $e^0 = 1$, we set $x^2 + 6x + 9 = 0$. This factors to $(x + 3)^2 = 0$, giving $x = -3$.

Solve for X e(x2+9)\mathrm { e } ^ { \left( \mathrm { x } ^ { 2 } + 9 \right) }e(x2+9)

Solve for X $\mathrm { e } ^ { \left( \mathrm { x } ^ { 2 } + 9 \right) }$