Solve for x.
-$e ^ { x ^ { 2 } - 4 }$ = 3
A) ± (2 + $\sqrt { \ln 3 }$ )
B) 2 ± $\sqrt { \ln 3 }$
C) ± $\sqrt { 4 + \ln 3 }$
D) none of these

Question

Solve for x. 
-$e ^ { x ^ { 2 } - 4 }$ = 3
A) ± (2 + $\sqrt { \ln 3 }$ )
B) 2 ± $\sqrt { \ln 3 }$
C) ± $\sqrt { 4 + \ln 3 }$
D) none of these

Quizplus · Accepted Answer

To solve $e^{x^2 - 4} = 3$, first take the natural logarithm of both sides to get $x^2 - 4 = \ln(3)$. Then, solve for $x^2$ to get $x^2 = 4 + \ln(3)$. Finally, take the square root of both sides to find $x = ±\sqrt{4 + \ln(3)}$, which matches option C.

Solve for X ex2−4e ^ { x ^ { 2 } - 4 }ex2−4

Solve for X $e ^ { x ^ { 2 } - 4 }$