Solve the equation by expressing each side as a power of the same base and then equating exponents.
-$$3 ^ { ( 3 x - 6 ) } = 27$$
A) $\{ 3 \}$
B) $\left\{ \frac { 1 } { 9 } \right\}$
C) $\{ 9 \}$
D) $\{ - 3 \}$

Question

Quizplus · Accepted Answer

First, express 27 as a power of 3, since $27 = 3^3$. Then, set the exponents equal to each other because the bases are the same: $3x - 6 = 3$. Solving for $x$ gives $x = 3$.

Solve the Equation by Expressing Each Side as a Power 3(3x−6)=273 ^ { ( 3 x - 6 ) } = 273(3x−6)=27

Solve the Equation by Expressing Each Side as a Power $3 ^ { ( 3 x - 6 ) } = 27$