Solve the equation. Write the solution set with the exact solutions. Also give approximate solutions to 4
decimal places if necessary.
-$\log \left( x ^ { 2 } - 2 x \right) = \log 15$
A) $\{ 5 , - 3 \}$
B) $\{ - 5,3 \}$
C) $\{ 5 \}$
D){ }

Question

Solve the equation. Write the solution set with the exact solutions. Also give approximate solutions to 4
decimal places if necessary.
-$\log \left( x ^ { 2 } - 2 x \right) = \log 15$
A) $\{ 5 , - 3 \}$
B) $\{ - 5,3 \}$
C) $\{ 5 \}$
D){  }

Quizplus · Accepted Answer

The equation $\log(x^2 - 2x) = \log(15)$ implies $x^2 - 2x = 15$. Solving the quadratic equation $x^2 - 2x - 15 = 0$ gives $x = 5$ and $x = -3$ as solutions. Both solutions are valid since they result in positive arguments for the logarithm function.

Solve the Equation log⁡(x2−2x)=log⁡15\log \left( x ^ { 2 } - 2 x \right) = \log 15log(x2−2x)=log15

Solve the Equation $\log \left( x ^ { 2 } - 2 x \right) = \log 15$