Solve the equation.
-$x=\log _{27} 3$

A) $\left\{\frac{1}{3}\right\}$

B) $\{3\}$

C) $\{-3\}$

D) $\left\{-\frac{1}{3}\right\}$

Name: Solve the equation. -$x=\log _{27} 3$ A) $\left\{\frac{1}{3}\right\}$ B) $\{3\}$ C) $\{-3\}$ D) $\left\{-\frac{1}{3}\right\}$
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Question

Solve the equation.
-$x=\log _{27} 3$

A) $\left\{\frac{1}{3}\right\}$

B) $\{3\}$

C) $\{-3\}$

D) $\left\{-\frac{1}{3}\right\}$

Quizplus · Accepted Answer

The equation $x=\log _{27} 3$ can be rewritten using the change of base formula or by recognizing that $27 = 3^3$, so we are looking for the power to which 3 must be raised to get 3, which is 1. Therefore, $x = \frac{1}{3}$.

Solve the Equation x=log⁡273x=\log _{27} 3x=log27​3 A) {13}\left\{\frac{1}{3}\right\}{31​} B) {3}\{3\}{3} C) {−3}\{-3\}{−3} D) {−13}\left\{-\frac{1}{3}\right\}{−31​}

Solve the Equation $x=\log _{27} 3$ A) $\left\{\frac{1}{3}\right\}$ B) $\{3\}$ C) $\{-3\}$ D) $\left\{-\frac{1}{3}\right\}$