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.

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign

x=6 and x=3

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