Solve the equation.
-$2 ^{( 7 + 3 x )} = \frac { 1 } { 4 }$
A) 1
B) $- 3$
C) 3
D) $\frac { 1 } { 2 }$

Name: Solve the equation. -$2 ^{( 7 + 3 x )} = \frac { 1 } { 4 }$ A) 1 B) $- 3$ C) 3 D) $\frac { 1 } { 2 }$
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Question

Quizplus · Accepted Answer

The equation $2^{(7 + 3x)} = \frac{1}{4}$ can be rewritten as $2^{(7 + 3x)} = 2^{-2}$ because $\frac{1}{4} = 2^{-2}$. Equating the exponents gives $7 + 3x = -2$. Solving for $x$, we subtract 7 from both sides to get $3x = -9$, and then divide by 3 to find $x = -3$.

Solve the Equation 2(7+3x)=142 ^{( 7 + 3 x )} = \frac { 1 } { 4 }2(7+3x)=41​

Solve the Equation $2 ^{( 7 + 3 x )} = \frac { 1 } { 4 }$