Solve the equation.
-$$\log _ { 2 } ( 3 x - 2 ) - \log _ { 2 } ( x - 5 ) = 4$$
A) $\{ 6 \}$
B) $\left\{ \frac { 3 } { 13 } \right\}$
C) $\left\{ \frac { 38 } { 5 } \right\}$
D) $\{ 18 \}$

Question

Quizplus · Accepted Answer

Using the properties of logarithms, the equation can be rewritten as $\log_2\left(\frac{3x-2}{x-5}\right) = 4$. Solving for $x$ gives $x = 6$.

Solve the Equation log⁡2(3x−2)−log⁡2(x−5)=4\log _ { 2 } ( 3 x - 2 ) - \log _ { 2 } ( x - 5 ) = 4log2​(3x−2)−log2​(x−5)=4

Solve the Equation $\log _ { 2 } ( 3 x - 2 ) - \log _ { 2 } ( x - 5 ) = 4$