Math questions

1. True or False. If false, explain and correct the statement: log(x+y+z)= log(x)+log(y)+log(z)

2. To solve the equation  Log base 3 (x) - log base 3(x-2)=1

first rewrite the left side of the equation as a single logarithm using ________ rule of logarithm.

NEED IT IN 1 HR!!!!