Solve: $3 ^ { 3 x - 3 } = 729$
A) {3}
B) {2}
C) $\left\{ \frac { 7 } { 2 } \right\}$
D) $\left\{ \frac { 1 } { 2 } \right\}$

Name: Solve: $3 ^ { 3 x - 3 } = 729$ A) {3} B) {2} C) $\left\{ \frac { 7 } { 2 } \right\}$ D) $\left\{ \frac { 1 } { 2 } \right\}$
Brand: Quizplus
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Question

Quizplus · Accepted Answer

$3^{3x-3} = 729$ can be solved by recognizing that 729 is $3^6$. Thus, $3^{3x-3} = 3^6$. Equating the exponents gives $3x - 3 = 6$. Solving for $x$ gives $x = 3$.

Solve 33x−3=7293 ^ { 3 x - 3 } = 72933x−3=729

Solve $3 ^ { 3 x - 3 } = 729$