Solve the equation.
-$\log _ { 4 } ( 2 x + 5 ) - \log _ { 4 } ( x - 2 ) = 1$
A) $3.125$
B) $6.5$
C) $2.408$
D) No solution

Name: Solve the equation. -$\log _ { 4 } ( 2 x + 5 ) - \log _ { 4 } ( x - 2 ) = 1$ A) $3.125$ B) $6.5$ C) $2.408$ D) No solution
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Question

Quizplus · Accepted Answer

Using the properties of logarithms, the equation can be rewritten as $\log _ { 4 } \left( \frac{2x + 5}{x - 2} \right) = 1$. This implies $\frac{2x + 5}{x - 2} = 4$. Solving this equation gives $x = 6.5$.

Solve the Equation log⁡4(2x+5)−log⁡4(x−2)=1\log _ { 4 } ( 2 x + 5 ) - \log _ { 4 } ( x - 2 ) = 1log4​(2x+5)−log4​(x−2)=1

Solve the Equation $\log _ { 4 } ( 2 x + 5 ) - \log _ { 4 } ( x - 2 ) = 1$