Solve the equation. Round to the nearest thousandth.
-$$2 \mathrm { e } ^{( 4 x+ 6 )} = 8$$
A) $\{ 0.087 \}$
B) $\{ - 3.087 \}$
C) $\{ - 1.153 \}$
D) $\{ - 2.393 \}$

Question

Solve the equation. Round to the nearest thousandth.
-$$2 \mathrm { e } ^{( 4  x+ 6 )} = 8$$
A) $\{ 0.087 \}$
B) $\{ - 3.087 \}$
C) $\{ - 1.153 \}$
D) $\{ - 2.393 \}$

Quizplus · Accepted Answer

First, divide both sides by 2 to get $\mathrm{e}^{(4x+6)} = 4$. Then, take the natural logarithm of both sides to solve for $x$, which gives $4x + 6 = \ln(4)$. Solving for $x$ yields $x = \frac{\ln(4) - 6}{4}$, which approximately equals $-1.153$.

Solve the Equation 2e(4x+6)=82 \mathrm { e } ^{( 4 x+ 6 )} = 82e(4x+6)=8

Solve the Equation $2 \mathrm { e } ^{( 4 x+ 6 )} = 8$