Solve the equation for x:

Question

The question is Solve for x: log(x^2 -12x +36) = 2

The answer given is x = 16 or -4

Please solve it according to class 11

Answer 1

$$\log(x-6)^2 = 2$$ Solved correctly till above but then you made a mistake. The correct way is as shown below:

$$\implies 2\times log|x-6| = 2$$ $$\implies |x-6| = 10$$

Which will give you the resulting answer.

Another way to do it would be to just write:

$$\log(x^2-12x+36) = 2$$ $$\implies x^2 -12x+36 = 100$$

And solved the quadratic.