Please solve for X and explain with steps

log₃(-2 tan(x)) = 1/2

Write both sides as powers of 3, and use the property :

-2 tan(x) = √3

Then solve for x :

tan(x) = -√3 / 2

x = arctan(-√3 / 2) + nπ

x = -arctan(√3 / 2) + nπ

where n is any integer.

answer: what statements

step-by-step explanation if you write the statements down then i could you.