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

Question

Quizplus · Accepted Answer

First, recognize that $27 = 3^3$. So, the equation becomes $3^{3x-6} = 3^3$. Since the bases are the same, the exponents must be equal: $3x - 6 = 3$. Solving for $x$, we add 6 to both sides to get $3x = 9$, and then divide by 3 to find $x = 3$.

Solve the Equation 3(3x−6)=273 ^ { ( 3 x - 6 ) } = 273(3x−6)=27

Solve the Equation $3 ^ { ( 3 x - 6 ) } = 27$