Solve the equation.
-$$3 ^ { 6 - 3 x } = \frac { 1 } { 27 }$$
A) $\left\{ \frac { 1 } { 9 } \right\}$
B) $\{ 9 \}$
C) $\{ 3 \}$
D) $\{ - 3 \}$

Name: Solve the equation. -\[3 ^ { 6 - 3 x } = \frac { 1 } { 27 }\] A) $\left\{ \frac { 1 } { 9 } \right\}$ B) $\{ 9 \}$ C) $\{ 3 \}$ D) $\{ - 3 \}$
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Question

Quizplus · Accepted Answer

The equation can be solved by recognizing that $27$ is $3^3$, and thus $\frac{1}{27} = 3^{-3}$. Setting the exponents equal to each other gives $6 - 3x = -3$, solving for $x$ yields $x = 3$.

Solve the Equation 36−3x=1273 ^ { 6 - 3 x } = \frac { 1 } { 27 }36−3x=271​

Solve the Equation $3 ^ { 6 - 3 x } = \frac { 1 } { 27 }$