Solve the equation.
-$\log _ { 4 } \left( x ^ { 2 } - 3 x \right) = 1$
A) 1
B) $4 , - 1$
C) 4
D) $- 4,1$

Name: Solve the equation. -$\log _ { 4 } \left( x ^ { 2 } - 3 x \right) = 1$ A) 1 B) $4 , - 1$ C) 4 D) $- 4,1$
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Question

Quizplus · Accepted Answer

The equation $\log _ { 4 } \left( x ^ { 2 } - 3 x \right) = 1$ can be rewritten using the property of logarithms as $x^2 - 3x = 4^1$. This simplifies to $x^2 - 3x - 4 = 0$, which factors to $(x - 4)(x + 1) = 0$, giving the solutions $x = 4$ and $x = -1$.

Solve the Equation log⁡4(x2−3x)=1\log _ { 4 } \left( x ^ { 2 } - 3 x \right) = 1log4​(x2−3x)=1

Solve the Equation $\log _ { 4 } \left( x ^ { 2 } - 3 x \right) = 1$