Solve the equation.
-$\log ( x + 5 ) = \log ( 4 x - 4 )$
A) $\left\{ \frac { 3 } { 2 } \right\}$
B) $\left\{ \frac { 1 } { 3 } \right\}$
C) $\{ 3 \}$
D) $\{ - 3 \}$

Name: Solve the equation. -$\log ( x + 5 ) = \log ( 4 x - 4 )$ A) $\left\{ \frac { 3 } { 2 } \right\}$ B) $\left\{ \frac { 1 } { 3 } \right\}$ C) $\{ 3 \}$ D) $\{ - 3 \}$
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Question

Quizplus · Accepted Answer

Since the logarithms are equal, the arguments must be equal: $x + 5 = 4x - 4$. Solving for $x$, we get $x = 3$.

Solve the Equation log⁡(x+5)=log⁡(4x−4)\log ( x + 5 ) = \log ( 4 x - 4 )log(x+5)=log(4x−4)

Solve the Equation $\log ( x + 5 ) = \log ( 4 x - 4 )$