Question

(log3 (x – 2) – 2)  = 0

Answer 1

$log_3(x-2)-2=0\\log_3(x-2)=2|x-2>0, x>2\\log_3(x-2)=log_39\\x-2=9\\x=11>2\\\\x=1$

Answer 2

We can solve this equation as follows:

log3(x - 2) - 2 = 0

log3(x - 2) = 2 (adding 2 to both sides)

3^2 = x - 2 (writing the equation in exponential form using the definition of logarithms)

9 = x - 2

x = 11

Therefore, the solution to the equation log3(x - 2) - 2 = 0 is x = 11.