Solve.
-$\log _{13}\left(\mathrm{x}^{2}-3 \mathrm{x}-27\right)=0$
A) $\{-4,7\}$
B) $\varnothing$
C) $\{7\}$
D) $\{-7,4\}$

Name: Solve. -$\log _{13}\left(\mathrm{x}^{2}-3 \mathrm{x}-27\right)=0$ A) $\{-4,7\}$ B) $\varnothing$ C) $\{7\}$ D) $\{-7,4\}$
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Question

Quizplus · Accepted Answer

The equation $\log _{13}\left(\mathrm{x}^{2}-3 \mathrm{x}-27\right)=0$ implies that $x^2 - 3x - 27 = 13^0 = 1$. Solving the quadratic equation $x^2 - 3x - 28 = 0$ gives $x = -4$ or $x = 7$, hence the solution set is $\{-4, 7\}$.

Solve - log⁡13(x2−3x−27)=0\log _{13}\left(\mathrm{x}^{2}-3 \mathrm{x}-27\right)=0log13​(x2−3x−27)=0 A) {−4,7}\{-4,7\}{−4,7} B) ∅\varnothing∅ C) {7}\{7\}{7} D) {−7,4}\{-7,4\}{−7,4}

Solve
- $\log _{13}\left(\mathrm{x}^{2}-3 \mathrm{x}-27\right)=0$ A) $\{-4,7\}$ B) $\varnothing$ C) $\{7\}$ D) $\{-7,4\}$