Solve the equation by expressing each side as a power of the same base and then equating exponents.
-$$4 ( 7 - 3 x ) = \frac { 1 } { 16 }$$
A) $\{ 3 \}$
B) $\left\{ \frac { 1 } { 4 } \right\}$
C) $\{ 4 \}$
D) $\{ - 3 \}$

Question

Quizplus · Accepted Answer

The equation can be rewritten as $2^2(7-3x) = 2^{-4}$. Simplifying, we get $7-3x = 2^{-2}$, which simplifies further to $7-3x = \frac{1}{4}$. Solving for $x$, we find $x = 3$.

Solve the Equation by Expressing Each Side as a Power 4(7−3x)=1164 ( 7 - 3 x ) = \frac { 1 } { 16 }4(7−3x)=161​

Solve the Equation by Expressing Each Side as a Power $4 ( 7 - 3 x ) = \frac { 1 } { 16 }$