Solve the equation. Give the exact solution or solutions.
-$\log (4+x)-\log (x-4)=\log 5$
A) $\{-6\}$
B) $\{2.5\}$
C) $\varnothing$
D) $\{6\}$

Name: Solve the equation. Give the exact solution or solutions. -$\log (4+x)-\log (x-4)=\log 5$ A) $\{-6\}$ B) $\{2.5\}$ C) $\varnothing$ D) $\{6\}$
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Quizplus · Accepted Answer

Using the properties of logarithms, $\log (4+x) - \log (x-4) = \log \frac{4+x}{x-4}$. Setting this equal to $\log 5$, we have $\frac{4+x}{x-4} = 5$. Solving for $x$, we get $x = 6$.

Solve the Equation log⁡(4+x)−log⁡(x−4)=log⁡5\log (4+x)-\log (x-4)=\log 5log(4+x)−log(x−4)=log5 A) {−6}\{-6\}{−6} B) {2.5}\{2.5\}{2.5} C) ∅\varnothing∅ D) {6}\{6\}{6}

Solve the Equation $\log (4+x)-\log (x-4)=\log 5$ A) $\{-6\}$ B) $\{2.5\}$ C) $\varnothing$ D) $\{6\}$