Solve for t or y, as appropriate.
-$$e ^ { x ^ { 2 } } e ^ { 3 x + 2 } = e ^ { t }$$
A) $x ^ { 2 } - 3 x - 2$
B) $x ^ { 2 } + 3 x + 2$
C) $3 x ^ { 3 } + 2 x ^ { 2 }$
D) $\ln \left( x ^ { 2 } + 3 x + 2 \right)$

Question

Quizplus · Accepted Answer

Using the properties of exponents, we can combine the exponents on the left side: $e^{x^2} \cdot e^{3x+2} = e^{x^2 + 3x + 2}$. Therefore, $t = x^2 + 3x + 2$.

Solve for T or Y, as Appropriate ex2e3x+2=ete ^ { x ^ { 2 } } e ^ { 3 x + 2 } = e ^ { t }ex2e3x+2=et

Solve for T or Y, as Appropriate $e ^ { x ^ { 2 } } e ^ { 3 x + 2 } = e ^ { t }$