Solve the equation. Use a calculator where appropriate. If the answer is irrational, round to the nearest hundredth.
-$$\log _ { 6 } ( x - 6 ) ^ { 2 } = 2$$
A)0, 12
B)-6, 6
C)42
D)-12, 0

Question

Quizplus · Accepted Answer

To solve the equation $\log _ { 6 } ( x - 6 ) ^ { 2 } = 2$, we first rewrite it in exponential form: $(x - 6)^2 = 6^2$. Solving for $x$, we get $x - 6 = \pm 6$. Thus, $x = 6 + 6 = 12$ or $x = 6 - 6 = 0$.

Solve the Equation log⁡6(x−6)2=2\log _ { 6 } ( x - 6 ) ^ { 2 } = 2log6​(x−6)2=2

Solve the Equation $\log _ { 6 } ( x - 6 ) ^ { 2 } = 2$